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Finding the Fourth Proportional to 319.18, 478.66 and 102.71

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Solution

The fourth proportional to 319.18, 478.66 and 102.71 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.18 : 478.66 = 102.71 : x
  2. Step 2: Convert to fraction form
    319.18/478.66 = 102.71/x
  3. Step 3: Cross multiply
    319.18x = 478.66 × 102.71
  4. Step 4: Simplify right side
    319.18x = 49,163.17
  5. Step 5: Solve for x
    x = 49,163.17/319.18
  6. Step 6: Final answer
    x = 154.03

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Why These Related Problems?

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