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Finding the Fourth Proportional to 373.85, 560.79 and 142.68

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Solution

The fourth proportional to 373.85, 560.79 and 142.68 is: 214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.85 : 560.79 = 142.68 : x
  2. Step 2: Convert to fraction form
    373.85/560.79 = 142.68/x
  3. Step 3: Cross multiply
    373.85x = 560.79 × 142.68
  4. Step 4: Simplify right side
    373.85x = 80,012.47
  5. Step 5: Solve for x
    x = 80,012.47/373.85
  6. Step 6: Final answer
    x = 214.02

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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.