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Finding the Fourth Proportional to 223.79, 308.86 and 160.85

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Solution

The fourth proportional to 223.79, 308.86 and 160.85 is: 222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.79 : 308.86 = 160.85 : x
  2. Step 2: Convert to fraction form
    223.79/308.86 = 160.85/x
  3. Step 3: Cross multiply
    223.79x = 308.86 × 160.85
  4. Step 4: Simplify right side
    223.79x = 49,680.50
  5. Step 5: Solve for x
    x = 49,680.50/223.79
  6. Step 6: Final answer
    x = 222.00

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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.