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Finding the Fourth Proportional to 562.14, 843.40 and 177.40

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Solution

The fourth proportional to 562.14, 843.40 and 177.40 is: 266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.14 : 843.40 = 177.40 : x
  2. Step 2: Convert to fraction form
    562.14/843.40 = 177.40/x
  3. Step 3: Cross multiply
    562.14x = 843.40 × 177.40
  4. Step 4: Simplify right side
    562.14x = 149,619.16
  5. Step 5: Solve for x
    x = 149,619.16/562.14
  6. Step 6: Final answer
    x = 266.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.