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Finding the Fourth Proportional to 306.65, 423.17 and 166.76

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Solution

The fourth proportional to 306.65, 423.17 and 166.76 is: 230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 423.17 = 166.76 : x
  2. Step 2: Convert to fraction form
    306.65/423.17 = 166.76/x
  3. Step 3: Cross multiply
    306.65x = 423.17 × 166.76
  4. Step 4: Simplify right side
    306.65x = 70,567.83
  5. Step 5: Solve for x
    x = 70,567.83/306.65
  6. Step 6: Final answer
    x = 230.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.