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Finding the Fourth Proportional to 319.71, 478.89 and 157.17

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Solution

The fourth proportional to 319.71, 478.89 and 157.17 is: 235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.71 : 478.89 = 157.17 : x
  2. Step 2: Convert to fraction form
    319.71/478.89 = 157.17/x
  3. Step 3: Cross multiply
    319.71x = 478.89 × 157.17
  4. Step 4: Simplify right side
    319.71x = 75,267.14
  5. Step 5: Solve for x
    x = 75,267.14/319.71
  6. Step 6: Final answer
    x = 235.42

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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.