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Finding the Fourth Proportional to 330.66, 456.34 and 190.82

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Solution

The fourth proportional to 330.66, 456.34 and 190.82 is: 263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.66 : 456.34 = 190.82 : x
  2. Step 2: Convert to fraction form
    330.66/456.34 = 190.82/x
  3. Step 3: Cross multiply
    330.66x = 456.34 × 190.82
  4. Step 4: Simplify right side
    330.66x = 87,079.46
  5. Step 5: Solve for x
    x = 87,079.46/330.66
  6. Step 6: Final answer
    x = 263.35

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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.