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Finding the Fourth Proportional to 247.64, 371.52 and 175.96

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Solution

The fourth proportional to 247.64, 371.52 and 175.96 is: 263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.64 : 371.52 = 175.96 : x
  2. Step 2: Convert to fraction form
    247.64/371.52 = 175.96/x
  3. Step 3: Cross multiply
    247.64x = 371.52 × 175.96
  4. Step 4: Simplify right side
    247.64x = 65,372.66
  5. Step 5: Solve for x
    x = 65,372.66/247.64
  6. Step 6: Final answer
    x = 263.98

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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.