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Finding the Fourth Proportional to 311.42, 429.74 and 171.53

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Solution

The fourth proportional to 311.42, 429.74 and 171.53 is: 236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.42 : 429.74 = 171.53 : x
  2. Step 2: Convert to fraction form
    311.42/429.74 = 171.53/x
  3. Step 3: Cross multiply
    311.42x = 429.74 × 171.53
  4. Step 4: Simplify right side
    311.42x = 73,713.52
  5. Step 5: Solve for x
    x = 73,713.52/311.42
  6. Step 6: Final answer
    x = 236.70

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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.