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Finding the Fourth Proportional to 306.42, 422.86 and 166.53

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Solution

The fourth proportional to 306.42, 422.86 and 166.53 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 422.86 = 166.53 : x
  2. Step 2: Convert to fraction form
    306.42/422.86 = 166.53/x
  3. Step 3: Cross multiply
    306.42x = 422.86 × 166.53
  4. Step 4: Simplify right side
    306.42x = 70,420.05
  5. Step 5: Solve for x
    x = 70,420.05/306.42
  6. Step 6: Final answer
    x = 229.82

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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.