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Finding the Fourth Proportional to 262.27, 362.07 and 207.19

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Solution

The fourth proportional to 262.27, 362.07 and 207.19 is: 286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.27 : 362.07 = 207.19 : x
  2. Step 2: Convert to fraction form
    262.27/362.07 = 207.19/x
  3. Step 3: Cross multiply
    262.27x = 362.07 × 207.19
  4. Step 4: Simplify right side
    262.27x = 75,017.28
  5. Step 5: Solve for x
    x = 75,017.28/262.27
  6. Step 6: Final answer
    x = 286.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.