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Finding the Fourth Proportional to 200.59, 276.79 and 112.08

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Solution

The fourth proportional to 200.59, 276.79 and 112.08 is: 154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.59 : 276.79 = 112.08 : x
  2. Step 2: Convert to fraction form
    200.59/276.79 = 112.08/x
  3. Step 3: Cross multiply
    200.59x = 276.79 × 112.08
  4. Step 4: Simplify right side
    200.59x = 31,021.05
  5. Step 5: Solve for x
    x = 31,021.05/200.59
  6. Step 6: Final answer
    x = 154.65

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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.