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Finding the Fourth Proportional to 248.24, 372.96 and 176.24

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Solution

The fourth proportional to 248.24, 372.96 and 176.24 is: 264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 372.96 = 176.24 : x
  2. Step 2: Convert to fraction form
    248.24/372.96 = 176.24/x
  3. Step 3: Cross multiply
    248.24x = 372.96 × 176.24
  4. Step 4: Simplify right side
    248.24x = 65,730.47
  5. Step 5: Solve for x
    x = 65,730.47/248.24
  6. Step 6: Final answer
    x = 264.79

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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.