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Finding the Fourth Proportional to 341.92, 471.93 and 202.06

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Solution

The fourth proportional to 341.92, 471.93 and 202.06 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 471.93 = 202.06 : x
  2. Step 2: Convert to fraction form
    341.92/471.93 = 202.06/x
  3. Step 3: Cross multiply
    341.92x = 471.93 × 202.06
  4. Step 4: Simplify right side
    341.92x = 95,358.18
  5. Step 5: Solve for x
    x = 95,358.18/341.92
  6. Step 6: Final answer
    x = 278.89

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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.