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Finding the Fourth Proportional to 468.85, 703.46 and 194.89

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Solution

The fourth proportional to 468.85, 703.46 and 194.89 is: 292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.85 : 703.46 = 194.89 : x
  2. Step 2: Convert to fraction form
    468.85/703.46 = 194.89/x
  3. Step 3: Cross multiply
    468.85x = 703.46 × 194.89
  4. Step 4: Simplify right side
    468.85x = 137,096.05
  5. Step 5: Solve for x
    x = 137,096.05/468.85
  6. Step 6: Final answer
    x = 292.41

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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.