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Finding the Fourth Proportional to 151.92, 210.06 and 149.48

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Solution

The fourth proportional to 151.92, 210.06 and 149.48 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 210.06 = 149.48 : x
  2. Step 2: Convert to fraction form
    151.92/210.06 = 149.48/x
  3. Step 3: Cross multiply
    151.92x = 210.06 × 149.48
  4. Step 4: Simplify right side
    151.92x = 31,399.77
  5. Step 5: Solve for x
    x = 31,399.77/151.92
  6. Step 6: Final answer
    x = 206.69

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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.