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Finding the Fourth Proportional to 159.75, 220.32 and 153.54

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Solution

The fourth proportional to 159.75, 220.32 and 153.54 is: 211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 220.32 = 153.54 : x
  2. Step 2: Convert to fraction form
    159.75/220.32 = 153.54/x
  3. Step 3: Cross multiply
    159.75x = 220.32 × 153.54
  4. Step 4: Simplify right side
    159.75x = 33,827.93
  5. Step 5: Solve for x
    x = 33,827.93/159.75
  6. Step 6: Final answer
    x = 211.76

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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.