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Finding the Fourth Proportional to 248.28, 372.64 and 179.16

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Solution

The fourth proportional to 248.28, 372.64 and 179.16 is: 268.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.28 : 372.64 = 179.16 : x
  2. Step 2: Convert to fraction form
    248.28/372.64 = 179.16/x
  3. Step 3: Cross multiply
    248.28x = 372.64 × 179.16
  4. Step 4: Simplify right side
    248.28x = 66,762.18
  5. Step 5: Solve for x
    x = 66,762.18/248.28
  6. Step 6: Final answer
    x = 268.90

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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.