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Finding the Fourth Proportional to 466.26, 698.93 and 157.95

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Solution

The fourth proportional to 466.26, 698.93 and 157.95 is: 236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.26 : 698.93 = 157.95 : x
  2. Step 2: Convert to fraction form
    466.26/698.93 = 157.95/x
  3. Step 3: Cross multiply
    466.26x = 698.93 × 157.95
  4. Step 4: Simplify right side
    466.26x = 110,395.80
  5. Step 5: Solve for x
    x = 110,395.80/466.26
  6. Step 6: Final answer
    x = 236.77

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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.