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Finding the Fourth Proportional to 248.20, 372.44 and 145.52

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Solution

The fourth proportional to 248.20, 372.44 and 145.52 is: 218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.20 : 372.44 = 145.52 : x
  2. Step 2: Convert to fraction form
    248.20/372.44 = 145.52/x
  3. Step 3: Cross multiply
    248.20x = 372.44 × 145.52
  4. Step 4: Simplify right side
    248.20x = 54,197.47
  5. Step 5: Solve for x
    x = 54,197.47/248.20
  6. Step 6: Final answer
    x = 218.36

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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.