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Finding the Fourth Proportional to 231.51, 319.48 and 126.60

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Solution

The fourth proportional to 231.51, 319.48 and 126.60 is: 174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.51 : 319.48 = 126.60 : x
  2. Step 2: Convert to fraction form
    231.51/319.48 = 126.60/x
  3. Step 3: Cross multiply
    231.51x = 319.48 × 126.60
  4. Step 4: Simplify right side
    231.51x = 40,445.13
  5. Step 5: Solve for x
    x = 40,445.13/231.51
  6. Step 6: Final answer
    x = 174.70

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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.