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Finding the Fourth Proportional to 341.12, 470.70 and 201.22

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Solution

The fourth proportional to 341.12, 470.70 and 201.22 is: 277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.12 : 470.70 = 201.22 : x
  2. Step 2: Convert to fraction form
    341.12/470.70 = 201.22/x
  3. Step 3: Cross multiply
    341.12x = 470.70 × 201.22
  4. Step 4: Simplify right side
    341.12x = 94,714.25
  5. Step 5: Solve for x
    x = 94,714.25/341.12
  6. Step 6: Final answer
    x = 277.66

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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.