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Finding the Fourth Proportional to 222.39, 306.57 and 160.17

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Solution

The fourth proportional to 222.39, 306.57 and 160.17 is: 220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.39 : 306.57 = 160.17 : x
  2. Step 2: Convert to fraction form
    222.39/306.57 = 160.17/x
  3. Step 3: Cross multiply
    222.39x = 306.57 × 160.17
  4. Step 4: Simplify right side
    222.39x = 49,103.32
  5. Step 5: Solve for x
    x = 49,103.32/222.39
  6. Step 6: Final answer
    x = 220.80

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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.