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Finding the Fourth Proportional to 231.69, 319.64 and 148.78

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Solution

The fourth proportional to 231.69, 319.64 and 148.78 is: 205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.69 : 319.64 = 148.78 : x
  2. Step 2: Convert to fraction form
    231.69/319.64 = 148.78/x
  3. Step 3: Cross multiply
    231.69x = 319.64 × 148.78
  4. Step 4: Simplify right side
    231.69x = 47,556.04
  5. Step 5: Solve for x
    x = 47,556.04/231.69
  6. Step 6: Final answer
    x = 205.26

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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.