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Finding the Fourth Proportional to 311.48, 429.88 and 187.16

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Solution

The fourth proportional to 311.48, 429.88 and 187.16 is: 258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.48 : 429.88 = 187.16 : x
  2. Step 2: Convert to fraction form
    311.48/429.88 = 187.16/x
  3. Step 3: Cross multiply
    311.48x = 429.88 × 187.16
  4. Step 4: Simplify right side
    311.48x = 80,456.34
  5. Step 5: Solve for x
    x = 80,456.34/311.48
  6. Step 6: Final answer
    x = 258.30

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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.