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Finding the Fourth Proportional to 534.71, 802.18 and 188.05

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Solution

The fourth proportional to 534.71, 802.18 and 188.05 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.71 : 802.18 = 188.05 : x
  2. Step 2: Convert to fraction form
    534.71/802.18 = 188.05/x
  3. Step 3: Cross multiply
    534.71x = 802.18 × 188.05
  4. Step 4: Simplify right side
    534.71x = 150,845.94
  5. Step 5: Solve for x
    x = 150,845.94/534.71
  6. Step 6: Final answer
    x = 282.11

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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.