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Finding the Fourth Proportional to 222.30, 306.75 and 124.04

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Solution

The fourth proportional to 222.30, 306.75 and 124.04 is: 171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.30 : 306.75 = 124.04 : x
  2. Step 2: Convert to fraction form
    222.30/306.75 = 124.04/x
  3. Step 3: Cross multiply
    222.30x = 306.75 × 124.04
  4. Step 4: Simplify right side
    222.30x = 38,049.27
  5. Step 5: Solve for x
    x = 38,049.27/222.30
  6. Step 6: Final answer
    x = 171.16

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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.