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Finding the Fourth Proportional to 221.78, 305.92 and 159.51

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Solution

The fourth proportional to 221.78, 305.92 and 159.51 is: 220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.78 : 305.92 = 159.51 : x
  2. Step 2: Convert to fraction form
    221.78/305.92 = 159.51/x
  3. Step 3: Cross multiply
    221.78x = 305.92 × 159.51
  4. Step 4: Simplify right side
    221.78x = 48,798.65
  5. Step 5: Solve for x
    x = 48,798.65/221.78
  6. Step 6: Final answer
    x = 220.03

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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.