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Finding the Fourth Proportional to 341.37, 471.10 and 201.49

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Solution

The fourth proportional to 341.37, 471.10 and 201.49 is: 278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.37 : 471.10 = 201.49 : x
  2. Step 2: Convert to fraction form
    341.37/471.10 = 201.49/x
  3. Step 3: Cross multiply
    341.37x = 471.10 × 201.49
  4. Step 4: Simplify right side
    341.37x = 94,921.77
  5. Step 5: Solve for x
    x = 94,921.77/341.37
  6. Step 6: Final answer
    x = 278.06

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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.