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Finding the Fourth Proportional to 534.09, 801.19 and 149.34

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Solution

The fourth proportional to 534.09, 801.19 and 149.34 is: 224.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 801.19 = 149.34 : x
  2. Step 2: Convert to fraction form
    534.09/801.19 = 149.34/x
  3. Step 3: Cross multiply
    534.09x = 801.19 × 149.34
  4. Step 4: Simplify right side
    534.09x = 119,652.91
  5. Step 5: Solve for x
    x = 119,652.91/534.09
  6. Step 6: Final answer
    x = 224.03

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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.