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Finding the Fourth Proportional to 341.00, 470.49 and 201.12

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Solution

The fourth proportional to 341.00, 470.49 and 201.12 is: 277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.00 : 470.49 = 201.12 : x
  2. Step 2: Convert to fraction form
    341.00/470.49 = 201.12/x
  3. Step 3: Cross multiply
    341.00x = 470.49 × 201.12
  4. Step 4: Simplify right side
    341.00x = 94,622.43
  5. Step 5: Solve for x
    x = 94,622.43/341.00
  6. Step 6: Final answer
    x = 277.49

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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.