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Finding the Fourth Proportional to 185.14, 277.59 and 63.37

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Solution

The fourth proportional to 185.14, 277.59 and 63.37 is: 95.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 277.59 = 63.37 : x
  2. Step 2: Convert to fraction form
    185.14/277.59 = 63.37/x
  3. Step 3: Cross multiply
    185.14x = 277.59 × 63.37
  4. Step 4: Simplify right side
    185.14x = 17,590.88
  5. Step 5: Solve for x
    x = 17,590.88/185.14
  6. Step 6: Final answer
    x = 95.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.