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Finding the Fourth Proportional to 232.60, 346.84 and 212.08

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Solution

The fourth proportional to 232.60, 346.84 and 212.08 is: 316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.60 : 346.84 = 212.08 : x
  2. Step 2: Convert to fraction form
    232.60/346.84 = 212.08/x
  3. Step 3: Cross multiply
    232.60x = 346.84 × 212.08
  4. Step 4: Simplify right side
    232.60x = 73,557.83
  5. Step 5: Solve for x
    x = 73,557.83/232.60
  6. Step 6: Final answer
    x = 316.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.