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Finding the Fourth Proportional to 218.06, 300.76 and 159.28

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Solution

The fourth proportional to 218.06, 300.76 and 159.28 is: 219.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.06 : 300.76 = 159.28 : x
  2. Step 2: Convert to fraction form
    218.06/300.76 = 159.28/x
  3. Step 3: Cross multiply
    218.06x = 300.76 × 159.28
  4. Step 4: Simplify right side
    218.06x = 47,905.05
  5. Step 5: Solve for x
    x = 47,905.05/218.06
  6. Step 6: Final answer
    x = 219.69

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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.