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Finding the Fourth Proportional to 248.10, 372.23 and 178.79

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Solution

The fourth proportional to 248.10, 372.23 and 178.79 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.10 : 372.23 = 178.79 : x
  2. Step 2: Convert to fraction form
    248.10/372.23 = 178.79/x
  3. Step 3: Cross multiply
    248.10x = 372.23 × 178.79
  4. Step 4: Simplify right side
    248.10x = 66,548.25
  5. Step 5: Solve for x
    x = 66,548.25/248.10
  6. Step 6: Final answer
    x = 268.23

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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.