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Finding the Fourth Proportional to 374.02, 560.17 and 179.15

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Solution

The fourth proportional to 374.02, 560.17 and 179.15 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.02 : 560.17 = 179.15 : x
  2. Step 2: Convert to fraction form
    374.02/560.17 = 179.15/x
  3. Step 3: Cross multiply
    374.02x = 560.17 × 179.15
  4. Step 4: Simplify right side
    374.02x = 100,354.79
  5. Step 5: Solve for x
    x = 100,354.79/374.02
  6. Step 6: Final answer
    x = 268.32

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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.