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Finding the Fourth Proportional to 468.73, 703.23 and 194.68

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Solution

The fourth proportional to 468.73, 703.23 and 194.68 is: 292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.73 : 703.23 = 194.68 : x
  2. Step 2: Convert to fraction form
    468.73/703.23 = 194.68/x
  3. Step 3: Cross multiply
    468.73x = 703.23 × 194.68
  4. Step 4: Simplify right side
    468.73x = 136,904.82
  5. Step 5: Solve for x
    x = 136,904.82/468.73
  6. Step 6: Final answer
    x = 292.08

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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.