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Finding the Fourth Proportional to 231.41, 319.35 and 126.50

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Solution

The fourth proportional to 231.41, 319.35 and 126.50 is: 174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.41 : 319.35 = 126.50 : x
  2. Step 2: Convert to fraction form
    231.41/319.35 = 126.50/x
  3. Step 3: Cross multiply
    231.41x = 319.35 × 126.50
  4. Step 4: Simplify right side
    231.41x = 40,397.91
  5. Step 5: Solve for x
    x = 40,397.91/231.41
  6. Step 6: Final answer
    x = 174.57

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