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Finding the Fourth Proportional to 201.84, 278.93 and 149.45

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Solution

The fourth proportional to 201.84, 278.93 and 149.45 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.84 : 278.93 = 149.45 : x
  2. Step 2: Convert to fraction form
    201.84/278.93 = 149.45/x
  3. Step 3: Cross multiply
    201.84x = 278.93 × 149.45
  4. Step 4: Simplify right side
    201.84x = 41,683.95
  5. Step 5: Solve for x
    x = 41,683.95/201.84
  6. Step 6: Final answer
    x = 206.52

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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.