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Finding the Fourth Proportional to 146.25, 201.69 and 133.17

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Solution

The fourth proportional to 146.25, 201.69 and 133.17 is: 183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 201.69 = 133.17 : x
  2. Step 2: Convert to fraction form
    146.25/201.69 = 133.17/x
  3. Step 3: Cross multiply
    146.25x = 201.69 × 133.17
  4. Step 4: Simplify right side
    146.25x = 26,859.06
  5. Step 5: Solve for x
    x = 26,859.06/146.25
  6. Step 6: Final answer
    x = 183.65

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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.