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Finding the Fourth Proportional to 271.80, 375.04 and 159.74

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Solution

The fourth proportional to 271.80, 375.04 and 159.74 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 375.04 = 159.74 : x
  2. Step 2: Convert to fraction form
    271.80/375.04 = 159.74/x
  3. Step 3: Cross multiply
    271.80x = 375.04 × 159.74
  4. Step 4: Simplify right side
    271.80x = 59,908.89
  5. Step 5: Solve for x
    x = 59,908.89/271.80
  6. Step 6: Final answer
    x = 220.42

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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.