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Finding the Fourth Proportional to 221.68, 305.92 and 123.42

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Solution

The fourth proportional to 221.68, 305.92 and 123.42 is: 170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.68 : 305.92 = 123.42 : x
  2. Step 2: Convert to fraction form
    221.68/305.92 = 123.42/x
  3. Step 3: Cross multiply
    221.68x = 305.92 × 123.42
  4. Step 4: Simplify right side
    221.68x = 37,756.65
  5. Step 5: Solve for x
    x = 37,756.65/221.68
  6. Step 6: Final answer
    x = 170.32

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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.