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Finding the Fourth Proportional to 373.72, 560.74 and 142.68

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Solution

The fourth proportional to 373.72, 560.74 and 142.68 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.72 : 560.74 = 142.68 : x
  2. Step 2: Convert to fraction form
    373.72/560.74 = 142.68/x
  3. Step 3: Cross multiply
    373.72x = 560.74 × 142.68
  4. Step 4: Simplify right side
    373.72x = 80,006.74
  5. Step 5: Solve for x
    x = 80,006.74/373.72
  6. Step 6: Final answer
    x = 214.08

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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.