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Finding the Fourth Proportional to 252.56, 379.02 and 175.70

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Solution

The fourth proportional to 252.56, 379.02 and 175.70 is: 263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 379.02 = 175.70 : x
  2. Step 2: Convert to fraction form
    252.56/379.02 = 175.70/x
  3. Step 3: Cross multiply
    252.56x = 379.02 × 175.70
  4. Step 4: Simplify right side
    252.56x = 66,593.81
  5. Step 5: Solve for x
    x = 66,593.81/252.56
  6. Step 6: Final answer
    x = 263.68

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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.