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Finding the Fourth Proportional to 376.14, 564.24 and 116.14

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Solution

The fourth proportional to 376.14, 564.24 and 116.14 is: 174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.14 : 564.24 = 116.14 : x
  2. Step 2: Convert to fraction form
    376.14/564.24 = 116.14/x
  3. Step 3: Cross multiply
    376.14x = 564.24 × 116.14
  4. Step 4: Simplify right side
    376.14x = 65,531.76
  5. Step 5: Solve for x
    x = 65,531.76/376.14
  6. Step 6: Final answer
    x = 174.22

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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.