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Finding the Fourth Proportional to 373.60, 560.32 and 116.96

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Solution

The fourth proportional to 373.60, 560.32 and 116.96 is: 175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.60 : 560.32 = 116.96 : x
  2. Step 2: Convert to fraction form
    373.60/560.32 = 116.96/x
  3. Step 3: Cross multiply
    373.60x = 560.32 × 116.96
  4. Step 4: Simplify right side
    373.60x = 65,535.03
  5. Step 5: Solve for x
    x = 65,535.03/373.60
  6. Step 6: Final answer
    x = 175.41

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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.