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Finding the Fourth Proportional to 468.69, 703.18 and 194.80

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Solution

The fourth proportional to 468.69, 703.18 and 194.80 is: 292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.69 : 703.18 = 194.80 : x
  2. Step 2: Convert to fraction form
    468.69/703.18 = 194.80/x
  3. Step 3: Cross multiply
    468.69x = 703.18 × 194.80
  4. Step 4: Simplify right side
    468.69x = 136,979.46
  5. Step 5: Solve for x
    x = 136,979.46/468.69
  6. Step 6: Final answer
    x = 292.26

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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.