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Finding the Fourth Proportional to 468.92, 703.54 and 195.09

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Solution

The fourth proportional to 468.92, 703.54 and 195.09 is: 292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.92 : 703.54 = 195.09 : x
  2. Step 2: Convert to fraction form
    468.92/703.54 = 195.09/x
  3. Step 3: Cross multiply
    468.92x = 703.54 × 195.09
  4. Step 4: Simplify right side
    468.92x = 137,253.62
  5. Step 5: Solve for x
    x = 137,253.62/468.92
  6. Step 6: Final answer
    x = 292.70

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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.