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Finding the Fourth Proportional to 373.59, 560.48 and 178.54

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Solution

The fourth proportional to 373.59, 560.48 and 178.54 is: 267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.59 : 560.48 = 178.54 : x
  2. Step 2: Convert to fraction form
    373.59/560.48 = 178.54/x
  3. Step 3: Cross multiply
    373.59x = 560.48 × 178.54
  4. Step 4: Simplify right side
    373.59x = 100,068.10
  5. Step 5: Solve for x
    x = 100,068.10/373.59
  6. Step 6: Final answer
    x = 267.86

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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.