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Finding the Fourth Proportional to 185.84, 277.24 and 158.48

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Solution

The fourth proportional to 185.84, 277.24 and 158.48 is: 236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 277.24 = 158.48 : x
  2. Step 2: Convert to fraction form
    185.84/277.24 = 158.48/x
  3. Step 3: Cross multiply
    185.84x = 277.24 × 158.48
  4. Step 4: Simplify right side
    185.84x = 43,937.00
  5. Step 5: Solve for x
    x = 43,937.00/185.84
  6. Step 6: Final answer
    x = 236.42

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Why These Related Problems?

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