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Finding the Fourth Proportional to 466.09, 699.13 and 157.94

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Solution

The fourth proportional to 466.09, 699.13 and 157.94 is: 236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.09 : 699.13 = 157.94 : x
  2. Step 2: Convert to fraction form
    466.09/699.13 = 157.94/x
  3. Step 3: Cross multiply
    466.09x = 699.13 × 157.94
  4. Step 4: Simplify right side
    466.09x = 110,420.59
  5. Step 5: Solve for x
    x = 110,420.59/466.09
  6. Step 6: Final answer
    x = 236.91

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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.