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Finding the Fourth Proportional to 167.81, 251.41 and 147.01

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Solution

The fourth proportional to 167.81, 251.41 and 147.01 is: 220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.81 : 251.41 = 147.01 : x
  2. Step 2: Convert to fraction form
    167.81/251.41 = 147.01/x
  3. Step 3: Cross multiply
    167.81x = 251.41 × 147.01
  4. Step 4: Simplify right side
    167.81x = 36,959.52
  5. Step 5: Solve for x
    x = 36,959.52/167.81
  6. Step 6: Final answer
    x = 220.25

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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.