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Finding the Fourth Proportional to 468.26, 701.93 and 159.95

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Solution

The fourth proportional to 468.26, 701.93 and 159.95 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 701.93 = 159.95 : x
  2. Step 2: Convert to fraction form
    468.26/701.93 = 159.95/x
  3. Step 3: Cross multiply
    468.26x = 701.93 × 159.95
  4. Step 4: Simplify right side
    468.26x = 112,273.70
  5. Step 5: Solve for x
    x = 112,273.70/468.26
  6. Step 6: Final answer
    x = 239.77

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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.