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Finding the Fourth Proportional to 216.42, 298.28 and 167.42

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Solution

The fourth proportional to 216.42, 298.28 and 167.42 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 298.28 = 167.42 : x
  2. Step 2: Convert to fraction form
    216.42/298.28 = 167.42/x
  3. Step 3: Cross multiply
    216.42x = 298.28 × 167.42
  4. Step 4: Simplify right side
    216.42x = 49,935.71
  5. Step 5: Solve for x
    x = 49,935.71/216.42
  6. Step 6: Final answer
    x = 230.74

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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.