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Finding the Fourth Proportional to 330.83, 456.51 and 189.04

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Solution

The fourth proportional to 330.83, 456.51 and 189.04 is: 260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.83 : 456.51 = 189.04 : x
  2. Step 2: Convert to fraction form
    330.83/456.51 = 189.04/x
  3. Step 3: Cross multiply
    330.83x = 456.51 × 189.04
  4. Step 4: Simplify right side
    330.83x = 86,299.93
  5. Step 5: Solve for x
    x = 86,299.93/330.83
  6. Step 6: Final answer
    x = 260.86

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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.