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Finding the Fourth Proportional to 374.18, 560.95 and 142.91

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Solution

The fourth proportional to 374.18, 560.95 and 142.91 is: 214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.18 : 560.95 = 142.91 : x
  2. Step 2: Convert to fraction form
    374.18/560.95 = 142.91/x
  3. Step 3: Cross multiply
    374.18x = 560.95 × 142.91
  4. Step 4: Simplify right side
    374.18x = 80,167.86
  5. Step 5: Solve for x
    x = 80,167.86/374.18
  6. Step 6: Final answer
    x = 214.25

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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.