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Finding the Fourth Proportional to 222.96, 307.69 and 123.38

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Solution

The fourth proportional to 222.96, 307.69 and 123.38 is: 170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.96 : 307.69 = 123.38 : x
  2. Step 2: Convert to fraction form
    222.96/307.69 = 123.38/x
  3. Step 3: Cross multiply
    222.96x = 307.69 × 123.38
  4. Step 4: Simplify right side
    222.96x = 37,962.79
  5. Step 5: Solve for x
    x = 37,962.79/222.96
  6. Step 6: Final answer
    x = 170.27

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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.