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Finding the Fourth Proportional to 341.64, 471.42 and 201.78

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Solution

The fourth proportional to 341.64, 471.42 and 201.78 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 471.42 = 201.78 : x
  2. Step 2: Convert to fraction form
    341.64/471.42 = 201.78/x
  3. Step 3: Cross multiply
    341.64x = 471.42 × 201.78
  4. Step 4: Simplify right side
    341.64x = 95,123.13
  5. Step 5: Solve for x
    x = 95,123.13/341.64
  6. Step 6: Final answer
    x = 278.43

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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.