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Finding the Fourth Proportional to 231.03, 319.14 and 187.56

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Solution

The fourth proportional to 231.03, 319.14 and 187.56 is: 259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.03 : 319.14 = 187.56 : x
  2. Step 2: Convert to fraction form
    231.03/319.14 = 187.56/x
  3. Step 3: Cross multiply
    231.03x = 319.14 × 187.56
  4. Step 4: Simplify right side
    231.03x = 59,857.90
  5. Step 5: Solve for x
    x = 59,857.90/231.03
  6. Step 6: Final answer
    x = 259.09

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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.