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Finding the Fourth Proportional to 255.60, 382.89 and 157.86

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Solution

The fourth proportional to 255.60, 382.89 and 157.86 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.60 : 382.89 = 157.86 : x
  2. Step 2: Convert to fraction form
    255.60/382.89 = 157.86/x
  3. Step 3: Cross multiply
    255.60x = 382.89 × 157.86
  4. Step 4: Simplify right side
    255.60x = 60,443.02
  5. Step 5: Solve for x
    x = 60,443.02/255.60
  6. Step 6: Final answer
    x = 236.48

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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.