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Finding the Fourth Proportional to 330.59, 456.17 and 190.71

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Solution

The fourth proportional to 330.59, 456.17 and 190.71 is: 263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.59 : 456.17 = 190.71 : x
  2. Step 2: Convert to fraction form
    330.59/456.17 = 190.71/x
  3. Step 3: Cross multiply
    330.59x = 456.17 × 190.71
  4. Step 4: Simplify right side
    330.59x = 86,996.18
  5. Step 5: Solve for x
    x = 86,996.18/330.59
  6. Step 6: Final answer
    x = 263.15

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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.