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Finding the Fourth Proportional to 466.24, 699.42 and 157.99

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Solution

The fourth proportional to 466.24, 699.42 and 157.99 is: 237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.24 : 699.42 = 157.99 : x
  2. Step 2: Convert to fraction form
    466.24/699.42 = 157.99/x
  3. Step 3: Cross multiply
    466.24x = 699.42 × 157.99
  4. Step 4: Simplify right side
    466.24x = 110,501.37
  5. Step 5: Solve for x
    x = 110,501.37/466.24
  6. Step 6: Final answer
    x = 237.01

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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.