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Finding the Fourth Proportional to 271.68, 374.40 and 193.92

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Solution

The fourth proportional to 271.68, 374.40 and 193.92 is: 267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 374.40 = 193.92 : x
  2. Step 2: Convert to fraction form
    271.68/374.40 = 193.92/x
  3. Step 3: Cross multiply
    271.68x = 374.40 × 193.92
  4. Step 4: Simplify right side
    271.68x = 72,603.65
  5. Step 5: Solve for x
    x = 72,603.65/271.68
  6. Step 6: Final answer
    x = 267.24

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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.