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Finding the Fourth Proportional to 330.86, 456.17 and 212.63

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Solution

The fourth proportional to 330.86, 456.17 and 212.63 is: 293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.86 : 456.17 = 212.63 : x
  2. Step 2: Convert to fraction form
    330.86/456.17 = 212.63/x
  3. Step 3: Cross multiply
    330.86x = 456.17 × 212.63
  4. Step 4: Simplify right side
    330.86x = 96,992.08
  5. Step 5: Solve for x
    x = 96,992.08/330.86
  6. Step 6: Final answer
    x = 293.16

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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.