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Finding the Fourth Proportional to 534.76, 802.14 and 188.09

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Solution

The fourth proportional to 534.76, 802.14 and 188.09 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.76 : 802.14 = 188.09 : x
  2. Step 2: Convert to fraction form
    534.76/802.14 = 188.09/x
  3. Step 3: Cross multiply
    534.76x = 802.14 × 188.09
  4. Step 4: Simplify right side
    534.76x = 150,874.51
  5. Step 5: Solve for x
    x = 150,874.51/534.76
  6. Step 6: Final answer
    x = 282.14

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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.