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Finding the Fourth Proportional to 378.89, 568.18 and 118.83

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Solution

The fourth proportional to 378.89, 568.18 and 118.83 is: 178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.89 : 568.18 = 118.83 : x
  2. Step 2: Convert to fraction form
    378.89/568.18 = 118.83/x
  3. Step 3: Cross multiply
    378.89x = 568.18 × 118.83
  4. Step 4: Simplify right side
    378.89x = 67,516.53
  5. Step 5: Solve for x
    x = 67,516.53/378.89
  6. Step 6: Final answer
    x = 178.19

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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.