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Finding the Fourth Proportional to 248.96, 372.88 and 120.80

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Solution

The fourth proportional to 248.96, 372.88 and 120.80 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.96 : 372.88 = 120.80 : x
  2. Step 2: Convert to fraction form
    248.96/372.88 = 120.80/x
  3. Step 3: Cross multiply
    248.96x = 372.88 × 120.80
  4. Step 4: Simplify right side
    248.96x = 45,043.90
  5. Step 5: Solve for x
    x = 45,043.90/248.96
  6. Step 6: Final answer
    x = 180.93

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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.