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Finding the Fourth Proportional to 179.29, 267.62 and 164.85

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Solution

The fourth proportional to 179.29, 267.62 and 164.85 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.29 : 267.62 = 164.85 : x
  2. Step 2: Convert to fraction form
    179.29/267.62 = 164.85/x
  3. Step 3: Cross multiply
    179.29x = 267.62 × 164.85
  4. Step 4: Simplify right side
    179.29x = 44,117.16
  5. Step 5: Solve for x
    x = 44,117.16/179.29
  6. Step 6: Final answer
    x = 246.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.