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Finding the Fourth Proportional to 378.78, 568.16 and 118.77

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Solution

The fourth proportional to 378.78, 568.16 and 118.77 is: 178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.78 : 568.16 = 118.77 : x
  2. Step 2: Convert to fraction form
    378.78/568.16 = 118.77/x
  3. Step 3: Cross multiply
    378.78x = 568.16 × 118.77
  4. Step 4: Simplify right side
    378.78x = 67,478.75
  5. Step 5: Solve for x
    x = 67,478.75/378.78
  6. Step 6: Final answer
    x = 178.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.