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Finding the Fourth Proportional to 262.80, 362.67 and 152.28

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Solution

The fourth proportional to 262.80, 362.67 and 152.28 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.80 : 362.67 = 152.28 : x
  2. Step 2: Convert to fraction form
    262.80/362.67 = 152.28/x
  3. Step 3: Cross multiply
    262.80x = 362.67 × 152.28
  4. Step 4: Simplify right side
    262.80x = 55,227.39
  5. Step 5: Solve for x
    x = 55,227.39/262.80
  6. Step 6: Final answer
    x = 210.15

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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.