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Finding the Fourth Proportional to 319.38, 478.80 and 154.76

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Solution

The fourth proportional to 319.38, 478.80 and 154.76 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.38 : 478.80 = 154.76 : x
  2. Step 2: Convert to fraction form
    319.38/478.80 = 154.76/x
  3. Step 3: Cross multiply
    319.38x = 478.80 × 154.76
  4. Step 4: Simplify right side
    319.38x = 74,099.09
  5. Step 5: Solve for x
    x = 74,099.09/319.38
  6. Step 6: Final answer
    x = 232.01

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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.