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Finding the Fourth Proportional to 248.57, 372.86 and 102.41

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Solution

The fourth proportional to 248.57, 372.86 and 102.41 is: 153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.57 : 372.86 = 102.41 : x
  2. Step 2: Convert to fraction form
    248.57/372.86 = 102.41/x
  3. Step 3: Cross multiply
    248.57x = 372.86 × 102.41
  4. Step 4: Simplify right side
    248.57x = 38,182.22
  5. Step 5: Solve for x
    x = 38,182.22/248.57
  6. Step 6: Final answer
    x = 153.61

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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.