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Finding the Fourth Proportional to 568.47, 852.72 and 178.46

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Solution

The fourth proportional to 568.47, 852.72 and 178.46 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.47 : 852.72 = 178.46 : x
  2. Step 2: Convert to fraction form
    568.47/852.72 = 178.46/x
  3. Step 3: Cross multiply
    568.47x = 852.72 × 178.46
  4. Step 4: Simplify right side
    568.47x = 152,178.10
  5. Step 5: Solve for x
    x = 152,178.10/568.47
  6. Step 6: Final answer
    x = 267.70

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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.