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Finding the Fourth Proportional to 394.62, 591.42 and 178.22

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Solution

The fourth proportional to 394.62, 591.42 and 178.22 is: 267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.62 : 591.42 = 178.22 : x
  2. Step 2: Convert to fraction form
    394.62/591.42 = 178.22/x
  3. Step 3: Cross multiply
    394.62x = 591.42 × 178.22
  4. Step 4: Simplify right side
    394.62x = 105,402.87
  5. Step 5: Solve for x
    x = 105,402.87/394.62
  6. Step 6: Final answer
    x = 267.10

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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.