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Finding the Fourth Proportional to 232.02, 346.33 and 215.10

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Solution

The fourth proportional to 232.02, 346.33 and 215.10 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 346.33 = 215.10 : x
  2. Step 2: Convert to fraction form
    232.02/346.33 = 215.10/x
  3. Step 3: Cross multiply
    232.02x = 346.33 × 215.10
  4. Step 4: Simplify right side
    232.02x = 74,495.58
  5. Step 5: Solve for x
    x = 74,495.58/232.02
  6. Step 6: Final answer
    x = 321.07

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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.