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Finding the Fourth Proportional to 330.98, 456.72 and 191.11

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Solution

The fourth proportional to 330.98, 456.72 and 191.11 is: 263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.98 : 456.72 = 191.11 : x
  2. Step 2: Convert to fraction form
    330.98/456.72 = 191.11/x
  3. Step 3: Cross multiply
    330.98x = 456.72 × 191.11
  4. Step 4: Simplify right side
    330.98x = 87,283.76
  5. Step 5: Solve for x
    x = 87,283.76/330.98
  6. Step 6: Final answer
    x = 263.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.