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Finding the Fourth Proportional to 222.08, 306.40 and 159.92

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Solution

The fourth proportional to 222.08, 306.40 and 159.92 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.08 : 306.40 = 159.92 : x
  2. Step 2: Convert to fraction form
    222.08/306.40 = 159.92/x
  3. Step 3: Cross multiply
    222.08x = 306.40 × 159.92
  4. Step 4: Simplify right side
    222.08x = 48,999.49
  5. Step 5: Solve for x
    x = 48,999.49/222.08
  6. Step 6: Final answer
    x = 220.64

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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.