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Finding the Fourth Proportional to 222.07, 306.45 and 123.82

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Solution

The fourth proportional to 222.07, 306.45 and 123.82 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.07 : 306.45 = 123.82 : x
  2. Step 2: Convert to fraction form
    222.07/306.45 = 123.82/x
  3. Step 3: Cross multiply
    222.07x = 306.45 × 123.82
  4. Step 4: Simplify right side
    222.07x = 37,944.64
  5. Step 5: Solve for x
    x = 37,944.64/222.07
  6. Step 6: Final answer
    x = 170.87

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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.