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Finding the Fourth Proportional to 342.94, 473.22 and 212.02

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Solution

The fourth proportional to 342.94, 473.22 and 212.02 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 473.22 = 212.02 : x
  2. Step 2: Convert to fraction form
    342.94/473.22 = 212.02/x
  3. Step 3: Cross multiply
    342.94x = 473.22 × 212.02
  4. Step 4: Simplify right side
    342.94x = 100,332.10
  5. Step 5: Solve for x
    x = 100,332.10/342.94
  6. Step 6: Final answer
    x = 292.56

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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.