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Finding the Fourth Proportional to 179.06, 268.34 and 117.23

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Solution

The fourth proportional to 179.06, 268.34 and 117.23 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.06 : 268.34 = 117.23 : x
  2. Step 2: Convert to fraction form
    179.06/268.34 = 117.23/x
  3. Step 3: Cross multiply
    179.06x = 268.34 × 117.23
  4. Step 4: Simplify right side
    179.06x = 31,455.57
  5. Step 5: Solve for x
    x = 31,455.57/179.06
  6. Step 6: Final answer
    x = 175.68

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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.