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Finding the Fourth Proportional to 248.10, 372.14 and 180.42

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Solution

The fourth proportional to 248.10, 372.14 and 180.42 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.10 : 372.14 = 180.42 : x
  2. Step 2: Convert to fraction form
    248.10/372.14 = 180.42/x
  3. Step 3: Cross multiply
    248.10x = 372.14 × 180.42
  4. Step 4: Simplify right side
    248.10x = 67,141.50
  5. Step 5: Solve for x
    x = 67,141.50/248.10
  6. Step 6: Final answer
    x = 270.62

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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.