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Finding the Fourth Proportional to 231.03, 318.76 and 142.53

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Solution

The fourth proportional to 231.03, 318.76 and 142.53 is: 196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.03 : 318.76 = 142.53 : x
  2. Step 2: Convert to fraction form
    231.03/318.76 = 142.53/x
  3. Step 3: Cross multiply
    231.03x = 318.76 × 142.53
  4. Step 4: Simplify right side
    231.03x = 45,432.86
  5. Step 5: Solve for x
    x = 45,432.86/231.03
  6. Step 6: Final answer
    x = 196.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.