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Finding the Fourth Proportional to 534.13, 801.20 and 149.37

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Solution

The fourth proportional to 534.13, 801.20 and 149.37 is: 224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.13 : 801.20 = 149.37 : x
  2. Step 2: Convert to fraction form
    534.13/801.20 = 149.37/x
  3. Step 3: Cross multiply
    534.13x = 801.20 × 149.37
  4. Step 4: Simplify right side
    534.13x = 119,674.50
  5. Step 5: Solve for x
    x = 119,674.50/534.13
  6. Step 6: Final answer
    x = 224.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.