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Finding the Fourth Proportional to 248.10, 371.61 and 176.28

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Solution

The fourth proportional to 248.10, 371.61 and 176.28 is: 264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.10 : 371.61 = 176.28 : x
  2. Step 2: Convert to fraction form
    248.10/371.61 = 176.28/x
  3. Step 3: Cross multiply
    248.10x = 371.61 × 176.28
  4. Step 4: Simplify right side
    248.10x = 65,507.41
  5. Step 5: Solve for x
    x = 65,507.41/248.10
  6. Step 6: Final answer
    x = 264.04

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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.