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Finding the Fourth Proportional to 199.96, 276.02 and 151.08

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Solution

The fourth proportional to 199.96, 276.02 and 151.08 is: 208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.96 : 276.02 = 151.08 : x
  2. Step 2: Convert to fraction form
    199.96/276.02 = 151.08/x
  3. Step 3: Cross multiply
    199.96x = 276.02 × 151.08
  4. Step 4: Simplify right side
    199.96x = 41,701.10
  5. Step 5: Solve for x
    x = 41,701.10/199.96
  6. Step 6: Final answer
    x = 208.55

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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.