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Finding the Fourth Proportional to 319.24, 478.71 and 102.76

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Solution

The fourth proportional to 319.24, 478.71 and 102.76 is: 154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 478.71 = 102.76 : x
  2. Step 2: Convert to fraction form
    319.24/478.71 = 102.76/x
  3. Step 3: Cross multiply
    319.24x = 478.71 × 102.76
  4. Step 4: Simplify right side
    319.24x = 49,192.24
  5. Step 5: Solve for x
    x = 49,192.24/319.24
  6. Step 6: Final answer
    x = 154.09

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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.