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Finding the Fourth Proportional to 151.90, 209.04 and 133.54

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Solution

The fourth proportional to 151.90, 209.04 and 133.54 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.90 : 209.04 = 133.54 : x
  2. Step 2: Convert to fraction form
    151.90/209.04 = 133.54/x
  3. Step 3: Cross multiply
    151.90x = 209.04 × 133.54
  4. Step 4: Simplify right side
    151.90x = 27,915.20
  5. Step 5: Solve for x
    x = 27,915.20/151.90
  6. Step 6: Final answer
    x = 183.77

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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.