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Finding the Fourth Proportional to 341.35, 470.96 and 201.48

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Solution

The fourth proportional to 341.35, 470.96 and 201.48 is: 277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.35 : 470.96 = 201.48 : x
  2. Step 2: Convert to fraction form
    341.35/470.96 = 201.48/x
  3. Step 3: Cross multiply
    341.35x = 470.96 × 201.48
  4. Step 4: Simplify right side
    341.35x = 94,887.00
  5. Step 5: Solve for x
    x = 94,887.00/341.35
  6. Step 6: Final answer
    x = 277.98

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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.