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Finding the Fourth Proportional to 179.04, 268.48 and 97.86

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Solution

The fourth proportional to 179.04, 268.48 and 97.86 is: 146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.04 : 268.48 = 97.86 : x
  2. Step 2: Convert to fraction form
    179.04/268.48 = 97.86/x
  3. Step 3: Cross multiply
    179.04x = 268.48 × 97.86
  4. Step 4: Simplify right side
    179.04x = 26,273.45
  5. Step 5: Solve for x
    x = 26,273.45/179.04
  6. Step 6: Final answer
    x = 146.75

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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.