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Finding the Fourth Proportional to 341.95, 472.01 and 202.09

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Solution

The fourth proportional to 341.95, 472.01 and 202.09 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.95 : 472.01 = 202.09 : x
  2. Step 2: Convert to fraction form
    341.95/472.01 = 202.09/x
  3. Step 3: Cross multiply
    341.95x = 472.01 × 202.09
  4. Step 4: Simplify right side
    341.95x = 95,388.50
  5. Step 5: Solve for x
    x = 95,388.50/341.95
  6. Step 6: Final answer
    x = 278.95

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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.