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Finding the Fourth Proportional to 262.45, 362.24 and 200.19

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Solution

The fourth proportional to 262.45, 362.24 and 200.19 is: 276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.45 : 362.24 = 200.19 : x
  2. Step 2: Convert to fraction form
    262.45/362.24 = 200.19/x
  3. Step 3: Cross multiply
    262.45x = 362.24 × 200.19
  4. Step 4: Simplify right side
    262.45x = 72,516.83
  5. Step 5: Solve for x
    x = 72,516.83/262.45
  6. Step 6: Final answer
    x = 276.31

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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.