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Finding the Fourth Proportional to 310.69, 465.63 and 194.86

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Solution

The fourth proportional to 310.69, 465.63 and 194.86 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.69 : 465.63 = 194.86 : x
  2. Step 2: Convert to fraction form
    310.69/465.63 = 194.86/x
  3. Step 3: Cross multiply
    310.69x = 465.63 × 194.86
  4. Step 4: Simplify right side
    310.69x = 90,732.66
  5. Step 5: Solve for x
    x = 90,732.66/310.69
  6. Step 6: Final answer
    x = 292.04

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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.