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Finding the Fourth Proportional to 151.98, 209.97 and 149.82

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Solution

The fourth proportional to 151.98, 209.97 and 149.82 is: 206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.98 : 209.97 = 149.82 : x
  2. Step 2: Convert to fraction form
    151.98/209.97 = 149.82/x
  3. Step 3: Cross multiply
    151.98x = 209.97 × 149.82
  4. Step 4: Simplify right side
    151.98x = 31,457.71
  5. Step 5: Solve for x
    x = 31,457.71/151.98
  6. Step 6: Final answer
    x = 206.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.