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Finding the Fourth Proportional to 179.99, 269.47 and 141.65

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Solution

The fourth proportional to 179.99, 269.47 and 141.65 is: 212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.99 : 269.47 = 141.65 : x
  2. Step 2: Convert to fraction form
    179.99/269.47 = 141.65/x
  3. Step 3: Cross multiply
    179.99x = 269.47 × 141.65
  4. Step 4: Simplify right side
    179.99x = 38,168.37
  5. Step 5: Solve for x
    x = 38,168.37/179.99
  6. Step 6: Final answer
    x = 212.06

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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.