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Finding the Fourth Proportional to 222.88, 306.88 and 171.04

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Solution

The fourth proportional to 222.88, 306.88 and 171.04 is: 235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.88 : 306.88 = 171.04 : x
  2. Step 2: Convert to fraction form
    222.88/306.88 = 171.04/x
  3. Step 3: Cross multiply
    222.88x = 306.88 × 171.04
  4. Step 4: Simplify right side
    222.88x = 52,488.76
  5. Step 5: Solve for x
    x = 52,488.76/222.88
  6. Step 6: Final answer
    x = 235.50

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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.