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Finding the Fourth Proportional to 200.89, 277.14 and 148.56

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Solution

The fourth proportional to 200.89, 277.14 and 148.56 is: 204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.89 : 277.14 = 148.56 : x
  2. Step 2: Convert to fraction form
    200.89/277.14 = 148.56/x
  3. Step 3: Cross multiply
    200.89x = 277.14 × 148.56
  4. Step 4: Simplify right side
    200.89x = 41,170.88
  5. Step 5: Solve for x
    x = 41,170.88/200.89
  6. Step 6: Final answer
    x = 204.94

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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.