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Finding the Fourth Proportional to 199.69, 275.58 and 111.18

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Solution

The fourth proportional to 199.69, 275.58 and 111.18 is: 153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 275.58 = 111.18 : x
  2. Step 2: Convert to fraction form
    199.69/275.58 = 111.18/x
  3. Step 3: Cross multiply
    199.69x = 275.58 × 111.18
  4. Step 4: Simplify right side
    199.69x = 30,637.61
  5. Step 5: Solve for x
    x = 30,637.61/199.69
  6. Step 6: Final answer
    x = 153.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.