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Finding the Fourth Proportional to 256.05, 353.10 and 211.65

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Solution

The fourth proportional to 256.05, 353.10 and 211.65 is: 291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.05 : 353.10 = 211.65 : x
  2. Step 2: Convert to fraction form
    256.05/353.10 = 211.65/x
  3. Step 3: Cross multiply
    256.05x = 353.10 × 211.65
  4. Step 4: Simplify right side
    256.05x = 74,733.62
  5. Step 5: Solve for x
    x = 74,733.62/256.05
  6. Step 6: Final answer
    x = 291.87

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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.