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Finding the Fourth Proportional to 373.77, 560.42 and 142.67

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Solution

The fourth proportional to 373.77, 560.42 and 142.67 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.77 : 560.42 = 142.67 : x
  2. Step 2: Convert to fraction form
    373.77/560.42 = 142.67/x
  3. Step 3: Cross multiply
    373.77x = 560.42 × 142.67
  4. Step 4: Simplify right side
    373.77x = 79,956.88
  5. Step 5: Solve for x
    x = 79,956.88/373.77
  6. Step 6: Final answer
    x = 213.92

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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.