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Finding the Fourth Proportional to 151.93, 209.48 and 120.75

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Solution

The fourth proportional to 151.93, 209.48 and 120.75 is: 166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.93 : 209.48 = 120.75 : x
  2. Step 2: Convert to fraction form
    151.93/209.48 = 120.75/x
  3. Step 3: Cross multiply
    151.93x = 209.48 × 120.75
  4. Step 4: Simplify right side
    151.93x = 25,294.71
  5. Step 5: Solve for x
    x = 25,294.71/151.93
  6. Step 6: Final answer
    x = 166.49

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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.