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Finding the Fourth Proportional to 231.17, 319.08 and 142.72

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Solution

The fourth proportional to 231.17, 319.08 and 142.72 is: 196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.17 : 319.08 = 142.72 : x
  2. Step 2: Convert to fraction form
    231.17/319.08 = 142.72/x
  3. Step 3: Cross multiply
    231.17x = 319.08 × 142.72
  4. Step 4: Simplify right side
    231.17x = 45,538.30
  5. Step 5: Solve for x
    x = 45,538.30/231.17
  6. Step 6: Final answer
    x = 196.99

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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.