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Finding the Fourth Proportional to 373.88, 560.54 and 142.68

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Solution

The fourth proportional to 373.88, 560.54 and 142.68 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.88 : 560.54 = 142.68 : x
  2. Step 2: Convert to fraction form
    373.88/560.54 = 142.68/x
  3. Step 3: Cross multiply
    373.88x = 560.54 × 142.68
  4. Step 4: Simplify right side
    373.88x = 79,977.85
  5. Step 5: Solve for x
    x = 79,977.85/373.88
  6. Step 6: Final answer
    x = 213.91

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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.