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Finding the Fourth Proportional to 341.84, 471.70 and 201.96

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Solution

The fourth proportional to 341.84, 471.70 and 201.96 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.84 : 471.70 = 201.96 : x
  2. Step 2: Convert to fraction form
    341.84/471.70 = 201.96/x
  3. Step 3: Cross multiply
    341.84x = 471.70 × 201.96
  4. Step 4: Simplify right side
    341.84x = 95,264.53
  5. Step 5: Solve for x
    x = 95,264.53/341.84
  6. Step 6: Final answer
    x = 278.68

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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.