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Finding the Fourth Proportional to 341.49, 470.66 and 248.09

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Solution

The fourth proportional to 341.49, 470.66 and 248.09 is: 341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.49 : 470.66 = 248.09 : x
  2. Step 2: Convert to fraction form
    341.49/470.66 = 248.09/x
  3. Step 3: Cross multiply
    341.49x = 470.66 × 248.09
  4. Step 4: Simplify right side
    341.49x = 116,765.16
  5. Step 5: Solve for x
    x = 116,765.16/341.49
  6. Step 6: Final answer
    x = 341.93

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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.