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Finding the Fourth Proportional to 248.76, 372.68 and 180.12

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Solution

The fourth proportional to 248.76, 372.68 and 180.12 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.76 : 372.68 = 180.12 : x
  2. Step 2: Convert to fraction form
    248.76/372.68 = 180.12/x
  3. Step 3: Cross multiply
    248.76x = 372.68 × 180.12
  4. Step 4: Simplify right side
    248.76x = 67,125.26
  5. Step 5: Solve for x
    x = 67,125.26/248.76
  6. Step 6: Final answer
    x = 269.84

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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.