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Finding the Fourth Proportional to 304.28, 456.61 and 194.68

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Solution

The fourth proportional to 304.28, 456.61 and 194.68 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.28 : 456.61 = 194.68 : x
  2. Step 2: Convert to fraction form
    304.28/456.61 = 194.68/x
  3. Step 3: Cross multiply
    304.28x = 456.61 × 194.68
  4. Step 4: Simplify right side
    304.28x = 88,891.10
  5. Step 5: Solve for x
    x = 88,891.10/304.28
  6. Step 6: Final answer
    x = 292.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.