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Finding the Fourth Proportional to 341.68, 470.88 and 248.24

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Solution

The fourth proportional to 341.68, 470.88 and 248.24 is: 342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.68 : 470.88 = 248.24 : x
  2. Step 2: Convert to fraction form
    341.68/470.88 = 248.24/x
  3. Step 3: Cross multiply
    341.68x = 470.88 × 248.24
  4. Step 4: Simplify right side
    341.68x = 116,891.25
  5. Step 5: Solve for x
    x = 116,891.25/341.68
  6. Step 6: Final answer
    x = 342.11

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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.