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Finding the Fourth Proportional to 343.23, 473.51 and 212.16

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Solution

The fourth proportional to 343.23, 473.51 and 212.16 is: 292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.23 : 473.51 = 212.16 : x
  2. Step 2: Convert to fraction form
    343.23/473.51 = 212.16/x
  3. Step 3: Cross multiply
    343.23x = 473.51 × 212.16
  4. Step 4: Simplify right side
    343.23x = 100,458.82
  5. Step 5: Solve for x
    x = 100,458.82/343.23
  6. Step 6: Final answer
    x = 292.69

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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.