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Finding the Fourth Proportional to 271.35, 374.49 and 160.86

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Solution

The fourth proportional to 271.35, 374.49 and 160.86 is: 222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.35 : 374.49 = 160.86 : x
  2. Step 2: Convert to fraction form
    271.35/374.49 = 160.86/x
  3. Step 3: Cross multiply
    271.35x = 374.49 × 160.86
  4. Step 4: Simplify right side
    271.35x = 60,240.46
  5. Step 5: Solve for x
    x = 60,240.46/271.35
  6. Step 6: Final answer
    x = 222.00

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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.