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Finding the Fourth Proportional to 248.56, 372.84 and 75.23

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Solution

The fourth proportional to 248.56, 372.84 and 75.23 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.56 : 372.84 = 75.23 : x
  2. Step 2: Convert to fraction form
    248.56/372.84 = 75.23/x
  3. Step 3: Cross multiply
    248.56x = 372.84 × 75.23
  4. Step 4: Simplify right side
    248.56x = 28,048.75
  5. Step 5: Solve for x
    x = 28,048.75/248.56
  6. Step 6: Final answer
    x = 112.85

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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.