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Finding the Fourth Proportional to 568.12, 852.16 and 178.12

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Solution

The fourth proportional to 568.12, 852.16 and 178.12 is: 267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.12 : 852.16 = 178.12 : x
  2. Step 2: Convert to fraction form
    568.12/852.16 = 178.12/x
  3. Step 3: Cross multiply
    568.12x = 852.16 × 178.12
  4. Step 4: Simplify right side
    568.12x = 151,786.74
  5. Step 5: Solve for x
    x = 151,786.74/568.12
  6. Step 6: Final answer
    x = 267.17

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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.