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Finding the Fourth Proportional to 343.46, 473.97 and 188.21

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Solution

The fourth proportional to 343.46, 473.97 and 188.21 is: 259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.46 : 473.97 = 188.21 : x
  2. Step 2: Convert to fraction form
    343.46/473.97 = 188.21/x
  3. Step 3: Cross multiply
    343.46x = 473.97 × 188.21
  4. Step 4: Simplify right side
    343.46x = 89,203.05
  5. Step 5: Solve for x
    x = 89,203.05/343.46
  6. Step 6: Final answer
    x = 259.72

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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.