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Finding the Fourth Proportional to 159.54, 218.76 and 154.08

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Solution

The fourth proportional to 159.54, 218.76 and 154.08 is: 211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 218.76 = 154.08 : x
  2. Step 2: Convert to fraction form
    159.54/218.76 = 154.08/x
  3. Step 3: Cross multiply
    159.54x = 218.76 × 154.08
  4. Step 4: Simplify right side
    159.54x = 33,706.54
  5. Step 5: Solve for x
    x = 33,706.54/159.54
  6. Step 6: Final answer
    x = 211.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.