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Finding the Fourth Proportional to 372.83, 559.38 and 167.38

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Solution

The fourth proportional to 372.83, 559.38 and 167.38 is: 251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.83 : 559.38 = 167.38 : x
  2. Step 2: Convert to fraction form
    372.83/559.38 = 167.38/x
  3. Step 3: Cross multiply
    372.83x = 559.38 × 167.38
  4. Step 4: Simplify right side
    372.83x = 93,629.02
  5. Step 5: Solve for x
    x = 93,629.02/372.83
  6. Step 6: Final answer
    x = 251.13

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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.