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Finding the Fourth Proportional to 200.94, 277.55 and 148.56

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Solution

The fourth proportional to 200.94, 277.55 and 148.56 is: 205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.94 : 277.55 = 148.56 : x
  2. Step 2: Convert to fraction form
    200.94/277.55 = 148.56/x
  3. Step 3: Cross multiply
    200.94x = 277.55 × 148.56
  4. Step 4: Simplify right side
    200.94x = 41,230.70
  5. Step 5: Solve for x
    x = 41,230.70/200.94
  6. Step 6: Final answer
    x = 205.19

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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.