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Finding the Fourth Proportional to 248.74, 372.87 and 111.80

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Solution

The fourth proportional to 248.74, 372.87 and 111.80 is: 167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.74 : 372.87 = 111.80 : x
  2. Step 2: Convert to fraction form
    248.74/372.87 = 111.80/x
  3. Step 3: Cross multiply
    248.74x = 372.87 × 111.80
  4. Step 4: Simplify right side
    248.74x = 41,686.87
  5. Step 5: Solve for x
    x = 41,686.87/248.74
  6. Step 6: Final answer
    x = 167.59

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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.