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Finding the Fourth Proportional to 231.24, 319.14 and 133.05

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Solution

The fourth proportional to 231.24, 319.14 and 133.05 is: 183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.24 : 319.14 = 133.05 : x
  2. Step 2: Convert to fraction form
    231.24/319.14 = 133.05/x
  3. Step 3: Cross multiply
    231.24x = 319.14 × 133.05
  4. Step 4: Simplify right side
    231.24x = 42,461.58
  5. Step 5: Solve for x
    x = 42,461.58/231.24
  6. Step 6: Final answer
    x = 183.63

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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.