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Finding the Fourth Proportional to 231.07, 318.71 and 157.26

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Solution

The fourth proportional to 231.07, 318.71 and 157.26 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.07 : 318.71 = 157.26 : x
  2. Step 2: Convert to fraction form
    231.07/318.71 = 157.26/x
  3. Step 3: Cross multiply
    231.07x = 318.71 × 157.26
  4. Step 4: Simplify right side
    231.07x = 50,120.33
  5. Step 5: Solve for x
    x = 50,120.33/231.07
  6. Step 6: Final answer
    x = 216.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.