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Finding the Fourth Proportional to 153.86, 231.12 and 125.02

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Solution

The fourth proportional to 153.86, 231.12 and 125.02 is: 187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 231.12 = 125.02 : x
  2. Step 2: Convert to fraction form
    153.86/231.12 = 125.02/x
  3. Step 3: Cross multiply
    153.86x = 231.12 × 125.02
  4. Step 4: Simplify right side
    153.86x = 28,894.62
  5. Step 5: Solve for x
    x = 28,894.62/153.86
  6. Step 6: Final answer
    x = 187.80

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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.