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Finding the Fourth Proportional to 369.31, 553.91 and 112.75

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Solution

The fourth proportional to 369.31, 553.91 and 112.75 is: 169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.31 : 553.91 = 112.75 : x
  2. Step 2: Convert to fraction form
    369.31/553.91 = 112.75/x
  3. Step 3: Cross multiply
    369.31x = 553.91 × 112.75
  4. Step 4: Simplify right side
    369.31x = 62,452.79
  5. Step 5: Solve for x
    x = 62,452.79/369.31
  6. Step 6: Final answer
    x = 169.11

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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.