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Finding the Fourth Proportional to 292.08, 402.92 and 179.96

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Solution

The fourth proportional to 292.08, 402.92 and 179.96 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.08 : 402.92 = 179.96 : x
  2. Step 2: Convert to fraction form
    292.08/402.92 = 179.96/x
  3. Step 3: Cross multiply
    292.08x = 402.92 × 179.96
  4. Step 4: Simplify right side
    292.08x = 72,509.48
  5. Step 5: Solve for x
    x = 72,509.48/292.08
  6. Step 6: Final answer
    x = 248.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.