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Finding the Fourth Proportional to 185.62, 277.25 and 154.84

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Solution

The fourth proportional to 185.62, 277.25 and 154.84 is: 231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.62 : 277.25 = 154.84 : x
  2. Step 2: Convert to fraction form
    185.62/277.25 = 154.84/x
  3. Step 3: Cross multiply
    185.62x = 277.25 × 154.84
  4. Step 4: Simplify right side
    185.62x = 42,929.39
  5. Step 5: Solve for x
    x = 42,929.39/185.62
  6. Step 6: Final answer
    x = 231.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.