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Finding the Fourth Proportional to 199.83, 275.78 and 111.32

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Solution

The fourth proportional to 199.83, 275.78 and 111.32 is: 153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.83 : 275.78 = 111.32 : x
  2. Step 2: Convert to fraction form
    199.83/275.78 = 111.32/x
  3. Step 3: Cross multiply
    199.83x = 275.78 × 111.32
  4. Step 4: Simplify right side
    199.83x = 30,699.14
  5. Step 5: Solve for x
    x = 30,699.14/199.83
  6. Step 6: Final answer
    x = 153.63

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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.