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Finding the Fourth Proportional to 343.16, 473.47 and 212.23

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Solution

The fourth proportional to 343.16, 473.47 and 212.23 is: 292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.16 : 473.47 = 212.23 : x
  2. Step 2: Convert to fraction form
    343.16/473.47 = 212.23/x
  3. Step 3: Cross multiply
    343.16x = 473.47 × 212.23
  4. Step 4: Simplify right side
    343.16x = 100,484.54
  5. Step 5: Solve for x
    x = 100,484.54/343.16
  6. Step 6: Final answer
    x = 292.82

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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.