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Finding the Fourth Proportional to 231.29, 319.05 and 148.31

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Solution

The fourth proportional to 231.29, 319.05 and 148.31 is: 204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.29 : 319.05 = 148.31 : x
  2. Step 2: Convert to fraction form
    231.29/319.05 = 148.31/x
  3. Step 3: Cross multiply
    231.29x = 319.05 × 148.31
  4. Step 4: Simplify right side
    231.29x = 47,318.31
  5. Step 5: Solve for x
    x = 47,318.31/231.29
  6. Step 6: Final answer
    x = 204.58

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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.