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Finding the Fourth Proportional to 222.24, 306.66 and 124.02

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Solution

The fourth proportional to 222.24, 306.66 and 124.02 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 306.66 = 124.02 : x
  2. Step 2: Convert to fraction form
    222.24/306.66 = 124.02/x
  3. Step 3: Cross multiply
    222.24x = 306.66 × 124.02
  4. Step 4: Simplify right side
    222.24x = 38,032.44
  5. Step 5: Solve for x
    x = 38,032.44/222.24
  6. Step 6: Final answer
    x = 171.13

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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.