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Finding the Fourth Proportional to 231.16, 319 and 132.95

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Solution

The fourth proportional to 231.16, 319 and 132.95 is: 183.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.16 : 319 = 132.95 : x
  2. Step 2: Convert to fraction form
    231.16/319 = 132.95/x
  3. Step 3: Cross multiply
    231.16x = 319 × 132.95
  4. Step 4: Simplify right side
    231.16x = 42,411.05
  5. Step 5: Solve for x
    x = 42,411.05/231.16
  6. Step 6: Final answer
    x = 183.47

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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.