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Finding the Fourth Proportional to 218.72, 302.00 and 159.82

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Solution

The fourth proportional to 218.72, 302.00 and 159.82 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.72 : 302.00 = 159.82 : x
  2. Step 2: Convert to fraction form
    218.72/302.00 = 159.82/x
  3. Step 3: Cross multiply
    218.72x = 302.00 × 159.82
  4. Step 4: Simplify right side
    218.72x = 48,264.09
  5. Step 5: Solve for x
    x = 48,264.09/218.72
  6. Step 6: Final answer
    x = 220.66

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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.