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Finding the Fourth Proportional to 341.65, 471.50 and 201.74

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Solution

The fourth proportional to 341.65, 471.50 and 201.74 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.65 : 471.50 = 201.74 : x
  2. Step 2: Convert to fraction form
    341.65/471.50 = 201.74/x
  3. Step 3: Cross multiply
    341.65x = 471.50 × 201.74
  4. Step 4: Simplify right side
    341.65x = 95,120.41
  5. Step 5: Solve for x
    x = 95,120.41/341.65
  6. Step 6: Final answer
    x = 278.41

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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.