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Finding the Fourth Proportional to 342.96, 473.25 and 212.01

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Solution

The fourth proportional to 342.96, 473.25 and 212.01 is: 292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.96 : 473.25 = 212.01 : x
  2. Step 2: Convert to fraction form
    342.96/473.25 = 212.01/x
  3. Step 3: Cross multiply
    342.96x = 473.25 × 212.01
  4. Step 4: Simplify right side
    342.96x = 100,333.73
  5. Step 5: Solve for x
    x = 100,333.73/342.96
  6. Step 6: Final answer
    x = 292.55

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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.