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Finding the Fourth Proportional to 147.94, 221.50 and 113.84

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Solution

The fourth proportional to 147.94, 221.50 and 113.84 is: 170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 221.50 = 113.84 : x
  2. Step 2: Convert to fraction form
    147.94/221.50 = 113.84/x
  3. Step 3: Cross multiply
    147.94x = 221.50 × 113.84
  4. Step 4: Simplify right side
    147.94x = 25,215.56
  5. Step 5: Solve for x
    x = 25,215.56/147.94
  6. Step 6: Final answer
    x = 170.44

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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.