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Finding the Fourth Proportional to 230.28, 345.12 and 161.65

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Solution

The fourth proportional to 230.28, 345.12 and 161.65 is: 242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.28 : 345.12 = 161.65 : x
  2. Step 2: Convert to fraction form
    230.28/345.12 = 161.65/x
  3. Step 3: Cross multiply
    230.28x = 345.12 × 161.65
  4. Step 4: Simplify right side
    230.28x = 55,788.65
  5. Step 5: Solve for x
    x = 55,788.65/230.28
  6. Step 6: Final answer
    x = 242.26

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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.