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Finding the Fourth Proportional to 468.50, 703.13 and 194.81

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Solution

The fourth proportional to 468.50, 703.13 and 194.81 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.50 : 703.13 = 194.81 : x
  2. Step 2: Convert to fraction form
    468.50/703.13 = 194.81/x
  3. Step 3: Cross multiply
    468.50x = 703.13 × 194.81
  4. Step 4: Simplify right side
    468.50x = 136,972.27
  5. Step 5: Solve for x
    x = 136,972.27/468.50
  6. Step 6: Final answer
    x = 292.37

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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.