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Finding the Fourth Proportional to 341.10, 470.86 and 230.90

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Solution

The fourth proportional to 341.10, 470.86 and 230.90 is: 318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.10 : 470.86 = 230.90 : x
  2. Step 2: Convert to fraction form
    341.10/470.86 = 230.90/x
  3. Step 3: Cross multiply
    341.10x = 470.86 × 230.90
  4. Step 4: Simplify right side
    341.10x = 108,718.64
  5. Step 5: Solve for x
    x = 108,718.64/341.10
  6. Step 6: Final answer
    x = 318.73

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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.