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Finding the Fourth Proportional to 231.66, 319.69 and 133.45

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Solution

The fourth proportional to 231.66, 319.69 and 133.45 is: 184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 319.69 = 133.45 : x
  2. Step 2: Convert to fraction form
    231.66/319.69 = 133.45/x
  3. Step 3: Cross multiply
    231.66x = 319.69 × 133.45
  4. Step 4: Simplify right side
    231.66x = 42,660.36
  5. Step 5: Solve for x
    x = 42,660.36/231.66
  6. Step 6: Final answer
    x = 184.15

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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.