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Finding the Fourth Proportional to 304.83, 456.84 and 194.94

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Solution

The fourth proportional to 304.83, 456.84 and 194.94 is: 292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.83 : 456.84 = 194.94 : x
  2. Step 2: Convert to fraction form
    304.83/456.84 = 194.94/x
  3. Step 3: Cross multiply
    304.83x = 456.84 × 194.94
  4. Step 4: Simplify right side
    304.83x = 89,056.39
  5. Step 5: Solve for x
    x = 89,056.39/304.83
  6. Step 6: Final answer
    x = 292.15

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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.