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Finding the Fourth Proportional to 534.71, 802.04 and 144.71

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Solution

The fourth proportional to 534.71, 802.04 and 144.71 is: 217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 802.04 = 144.71 : x
  2. Step 2: Convert to fraction form
    534.71/802.04 = 144.71/x
  3. Step 3: Cross multiply
    534.71x = 802.04 × 144.71
  4. Step 4: Simplify right side
    534.71x = 116,063.21
  5. Step 5: Solve for x
    x = 116,063.21/534.71
  6. Step 6: Final answer
    x = 217.06

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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.