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Finding the Fourth Proportional to 341.43, 471.10 and 201.50

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Solution

The fourth proportional to 341.43, 471.10 and 201.50 is: 278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.43 : 471.10 = 201.50 : x
  2. Step 2: Convert to fraction form
    341.43/471.10 = 201.50/x
  3. Step 3: Cross multiply
    341.43x = 471.10 × 201.50
  4. Step 4: Simplify right side
    341.43x = 94,923.79
  5. Step 5: Solve for x
    x = 94,923.79/341.43
  6. Step 6: Final answer
    x = 278.02

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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.