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Finding the Fourth Proportional to 179.02, 268.56 and 110.60

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Solution

The fourth proportional to 179.02, 268.56 and 110.60 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.02 : 268.56 = 110.60 : x
  2. Step 2: Convert to fraction form
    179.02/268.56 = 110.60/x
  3. Step 3: Cross multiply
    179.02x = 268.56 × 110.60
  4. Step 4: Simplify right side
    179.02x = 29,702.74
  5. Step 5: Solve for x
    x = 29,702.74/179.02
  6. Step 6: Final answer
    x = 165.92

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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.