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Finding the Fourth Proportional to 319.26, 478.89 and 88.15

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Solution

The fourth proportional to 319.26, 478.89 and 88.15 is: 132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.26 : 478.89 = 88.15 : x
  2. Step 2: Convert to fraction form
    319.26/478.89 = 88.15/x
  3. Step 3: Cross multiply
    319.26x = 478.89 × 88.15
  4. Step 4: Simplify right side
    319.26x = 42,213.71
  5. Step 5: Solve for x
    x = 42,213.71/319.26
  6. Step 6: Final answer
    x = 132.22

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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.