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Finding the Fourth Proportional to 231.10, 319.08 and 148.42

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Solution

The fourth proportional to 231.10, 319.08 and 148.42 is: 204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.10 : 319.08 = 148.42 : x
  2. Step 2: Convert to fraction form
    231.10/319.08 = 148.42/x
  3. Step 3: Cross multiply
    231.10x = 319.08 × 148.42
  4. Step 4: Simplify right side
    231.10x = 47,357.85
  5. Step 5: Solve for x
    x = 47,357.85/231.10
  6. Step 6: Final answer
    x = 204.92

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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.