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Finding the Fourth Proportional to 311.08, 466.54 and 159.08

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Solution

The fourth proportional to 311.08, 466.54 and 159.08 is: 238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.08 : 466.54 = 159.08 : x
  2. Step 2: Convert to fraction form
    311.08/466.54 = 159.08/x
  3. Step 3: Cross multiply
    311.08x = 466.54 × 159.08
  4. Step 4: Simplify right side
    311.08x = 74,217.18
  5. Step 5: Solve for x
    x = 74,217.18/311.08
  6. Step 6: Final answer
    x = 238.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.