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Finding the Fourth Proportional to 271.38, 374.28 and 188.62

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Solution

The fourth proportional to 271.38, 374.28 and 188.62 is: 260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.38 : 374.28 = 188.62 : x
  2. Step 2: Convert to fraction form
    271.38/374.28 = 188.62/x
  3. Step 3: Cross multiply
    271.38x = 374.28 × 188.62
  4. Step 4: Simplify right side
    271.38x = 70,596.69
  5. Step 5: Solve for x
    x = 70,596.69/271.38
  6. Step 6: Final answer
    x = 260.14

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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.