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Finding the Fourth Proportional to 341.05, 470.64 and 193.70

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Solution

The fourth proportional to 341.05, 470.64 and 193.70 is: 267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.05 : 470.64 = 193.70 : x
  2. Step 2: Convert to fraction form
    341.05/470.64 = 193.70/x
  3. Step 3: Cross multiply
    341.05x = 470.64 × 193.70
  4. Step 4: Simplify right side
    341.05x = 91,162.97
  5. Step 5: Solve for x
    x = 91,162.97/341.05
  6. Step 6: Final answer
    x = 267.30

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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.