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Finding the Fourth Proportional to 271.76, 374.88 and 188.78

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Solution

The fourth proportional to 271.76, 374.88 and 188.78 is: 260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.76 : 374.88 = 188.78 : x
  2. Step 2: Convert to fraction form
    271.76/374.88 = 188.78/x
  3. Step 3: Cross multiply
    271.76x = 374.88 × 188.78
  4. Step 4: Simplify right side
    271.76x = 70,769.85
  5. Step 5: Solve for x
    x = 70,769.85/271.76
  6. Step 6: Final answer
    x = 260.41

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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.