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Finding the Fourth Proportional to 271.01, 374.08 and 160.47

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Solution

The fourth proportional to 271.01, 374.08 and 160.47 is: 221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.01 : 374.08 = 160.47 : x
  2. Step 2: Convert to fraction form
    271.01/374.08 = 160.47/x
  3. Step 3: Cross multiply
    271.01x = 374.08 × 160.47
  4. Step 4: Simplify right side
    271.01x = 60,028.62
  5. Step 5: Solve for x
    x = 60,028.62/271.01
  6. Step 6: Final answer
    x = 221.50

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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.