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Finding the Fourth Proportional to 231.05, 318.48 and 157.24

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Solution

The fourth proportional to 231.05, 318.48 and 157.24 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.05 : 318.48 = 157.24 : x
  2. Step 2: Convert to fraction form
    231.05/318.48 = 157.24/x
  3. Step 3: Cross multiply
    231.05x = 318.48 × 157.24
  4. Step 4: Simplify right side
    231.05x = 50,076.60
  5. Step 5: Solve for x
    x = 50,076.60/231.05
  6. Step 6: Final answer
    x = 216.74

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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.