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Finding the Fourth Proportional to 311.44, 429.81 and 187.13

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Solution

The fourth proportional to 311.44, 429.81 and 187.13 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 429.81 = 187.13 : x
  2. Step 2: Convert to fraction form
    311.44/429.81 = 187.13/x
  3. Step 3: Cross multiply
    311.44x = 429.81 × 187.13
  4. Step 4: Simplify right side
    311.44x = 80,430.35
  5. Step 5: Solve for x
    x = 80,430.35/311.44
  6. Step 6: Final answer
    x = 258.25

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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.