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Finding the Fourth Proportional to 179.82, 269.78 and 56.42

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Solution

The fourth proportional to 179.82, 269.78 and 56.42 is: 84.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.82 : 269.78 = 56.42 : x
  2. Step 2: Convert to fraction form
    179.82/269.78 = 56.42/x
  3. Step 3: Cross multiply
    179.82x = 269.78 × 56.42
  4. Step 4: Simplify right side
    179.82x = 15,220.99
  5. Step 5: Solve for x
    x = 15,220.99/179.82
  6. Step 6: Final answer
    x = 84.65

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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.