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Finding the Fourth Proportional to 568.60, 852.92 and 178.56

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Solution

The fourth proportional to 568.60, 852.92 and 178.56 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.60 : 852.92 = 178.56 : x
  2. Step 2: Convert to fraction form
    568.60/852.92 = 178.56/x
  3. Step 3: Cross multiply
    568.60x = 852.92 × 178.56
  4. Step 4: Simplify right side
    568.60x = 152,297.40
  5. Step 5: Solve for x
    x = 152,297.40/568.60
  6. Step 6: Final answer
    x = 267.85

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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.