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Finding the Fourth Proportional to 167.95, 250.61 and 146.08

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Solution

The fourth proportional to 167.95, 250.61 and 146.08 is: 217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.95 : 250.61 = 146.08 : x
  2. Step 2: Convert to fraction form
    167.95/250.61 = 146.08/x
  3. Step 3: Cross multiply
    167.95x = 250.61 × 146.08
  4. Step 4: Simplify right side
    167.95x = 36,609.11
  5. Step 5: Solve for x
    x = 36,609.11/167.95
  6. Step 6: Final answer
    x = 217.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.