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Finding the Fourth Proportional to 248.46, 372.96 and 157.74

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Solution

The fourth proportional to 248.46, 372.96 and 157.74 is: 236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.46 : 372.96 = 157.74 : x
  2. Step 2: Convert to fraction form
    248.46/372.96 = 157.74/x
  3. Step 3: Cross multiply
    248.46x = 372.96 × 157.74
  4. Step 4: Simplify right side
    248.46x = 58,830.71
  5. Step 5: Solve for x
    x = 58,830.71/248.46
  6. Step 6: Final answer
    x = 236.78

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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.