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Finding the Fourth Proportional to 341.38, 470.82 and 251.50

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Solution

The fourth proportional to 341.38, 470.82 and 251.50 is: 346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.38 : 470.82 = 251.50 : x
  2. Step 2: Convert to fraction form
    341.38/470.82 = 251.50/x
  3. Step 3: Cross multiply
    341.38x = 470.82 × 251.50
  4. Step 4: Simplify right side
    341.38x = 118,411.23
  5. Step 5: Solve for x
    x = 118,411.23/341.38
  6. Step 6: Final answer
    x = 346.86

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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.