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Finding the Fourth Proportional to 248.26, 372.64 and 145.74

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Solution

The fourth proportional to 248.26, 372.64 and 145.74 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.26 : 372.64 = 145.74 : x
  2. Step 2: Convert to fraction form
    248.26/372.64 = 145.74/x
  3. Step 3: Cross multiply
    248.26x = 372.64 × 145.74
  4. Step 4: Simplify right side
    248.26x = 54,308.55
  5. Step 5: Solve for x
    x = 54,308.55/248.26
  6. Step 6: Final answer
    x = 218.76

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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.