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Finding the Fourth Proportional to 311.43, 429.59 and 187.02

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Solution

The fourth proportional to 311.43, 429.59 and 187.02 is: 257.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.43 : 429.59 = 187.02 : x
  2. Step 2: Convert to fraction form
    311.43/429.59 = 187.02/x
  3. Step 3: Cross multiply
    311.43x = 429.59 × 187.02
  4. Step 4: Simplify right side
    311.43x = 80,342.39
  5. Step 5: Solve for x
    x = 80,342.39/311.43
  6. Step 6: Final answer
    x = 257.98

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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.