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Finding the Fourth Proportional to 374.84, 562.17 and 114.78

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Solution

The fourth proportional to 374.84, 562.17 and 114.78 is: 172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.84 : 562.17 = 114.78 : x
  2. Step 2: Convert to fraction form
    374.84/562.17 = 114.78/x
  3. Step 3: Cross multiply
    374.84x = 562.17 × 114.78
  4. Step 4: Simplify right side
    374.84x = 64,523.33
  5. Step 5: Solve for x
    x = 64,523.33/374.84
  6. Step 6: Final answer
    x = 172.13

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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.