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Finding the Fourth Proportional to 534.73, 802.14 and 149.98

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Solution

The fourth proportional to 534.73, 802.14 and 149.98 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.73 : 802.14 = 149.98 : x
  2. Step 2: Convert to fraction form
    534.73/802.14 = 149.98/x
  3. Step 3: Cross multiply
    534.73x = 802.14 × 149.98
  4. Step 4: Simplify right side
    534.73x = 120,304.96
  5. Step 5: Solve for x
    x = 120,304.96/534.73
  6. Step 6: Final answer
    x = 224.98

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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.