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Finding the Fourth Proportional to 200.89, 277.32 and 135.55

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Solution

The fourth proportional to 200.89, 277.32 and 135.55 is: 187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.89 : 277.32 = 135.55 : x
  2. Step 2: Convert to fraction form
    200.89/277.32 = 135.55/x
  3. Step 3: Cross multiply
    200.89x = 277.32 × 135.55
  4. Step 4: Simplify right side
    200.89x = 37,590.73
  5. Step 5: Solve for x
    x = 37,590.73/200.89
  6. Step 6: Final answer
    x = 187.12

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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.