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Finding the Fourth Proportional to 231.35, 319.28 and 157.70

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Solution

The fourth proportional to 231.35, 319.28 and 157.70 is: 217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.35 : 319.28 = 157.70 : x
  2. Step 2: Convert to fraction form
    231.35/319.28 = 157.70/x
  3. Step 3: Cross multiply
    231.35x = 319.28 × 157.70
  4. Step 4: Simplify right side
    231.35x = 50,350.47
  5. Step 5: Solve for x
    x = 50,350.47/231.35
  6. Step 6: Final answer
    x = 217.64

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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.