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Finding the Fourth Proportional to 199.39, 275.13 and 112.06

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Solution

The fourth proportional to 199.39, 275.13 and 112.06 is: 154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.39 : 275.13 = 112.06 : x
  2. Step 2: Convert to fraction form
    199.39/275.13 = 112.06/x
  3. Step 3: Cross multiply
    199.39x = 275.13 × 112.06
  4. Step 4: Simplify right side
    199.39x = 30,831.07
  5. Step 5: Solve for x
    x = 30,831.07/199.39
  6. Step 6: Final answer
    x = 154.63

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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.