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Finding the Fourth Proportional to 468.66, 703.20 and 194.79

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Solution

The fourth proportional to 468.66, 703.20 and 194.79 is: 292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 703.20 = 194.79 : x
  2. Step 2: Convert to fraction form
    468.66/703.20 = 194.79/x
  3. Step 3: Cross multiply
    468.66x = 703.20 × 194.79
  4. Step 4: Simplify right side
    468.66x = 136,976.33
  5. Step 5: Solve for x
    x = 136,976.33/468.66
  6. Step 6: Final answer
    x = 292.27

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