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Finding the Fourth Proportional to 151.80, 209.82 and 135.33

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Solution

The fourth proportional to 151.80, 209.82 and 135.33 is: 187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 209.82 = 135.33 : x
  2. Step 2: Convert to fraction form
    151.80/209.82 = 135.33/x
  3. Step 3: Cross multiply
    151.80x = 209.82 × 135.33
  4. Step 4: Simplify right side
    151.80x = 28,394.94
  5. Step 5: Solve for x
    x = 28,394.94/151.80
  6. Step 6: Final answer
    x = 187.05

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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.