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Finding the Fourth Proportional to 343.16, 473.50 and 212.14

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Solution

The fourth proportional to 343.16, 473.50 and 212.14 is: 292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.16 : 473.50 = 212.14 : x
  2. Step 2: Convert to fraction form
    343.16/473.50 = 212.14/x
  3. Step 3: Cross multiply
    343.16x = 473.50 × 212.14
  4. Step 4: Simplify right side
    343.16x = 100,448.29
  5. Step 5: Solve for x
    x = 100,448.29/343.16
  6. Step 6: Final answer
    x = 292.72

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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.