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Finding the Fourth Proportional to 341.72, 471.47 and 201.86

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Solution

The fourth proportional to 341.72, 471.47 and 201.86 is: 278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.72 : 471.47 = 201.86 : x
  2. Step 2: Convert to fraction form
    341.72/471.47 = 201.86/x
  3. Step 3: Cross multiply
    341.72x = 471.47 × 201.86
  4. Step 4: Simplify right side
    341.72x = 95,169.08
  5. Step 5: Solve for x
    x = 95,169.08/341.72
  6. Step 6: Final answer
    x = 278.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.