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Finding the Fourth Proportional to 319.10, 478.74 and 102.74

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Solution

The fourth proportional to 319.10, 478.74 and 102.74 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 478.74 = 102.74 : x
  2. Step 2: Convert to fraction form
    319.10/478.74 = 102.74/x
  3. Step 3: Cross multiply
    319.10x = 478.74 × 102.74
  4. Step 4: Simplify right side
    319.10x = 49,185.75
  5. Step 5: Solve for x
    x = 49,185.75/319.10
  6. Step 6: Final answer
    x = 154.14

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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.