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Finding the Fourth Proportional to 185.00, 277.50 and 63.35

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Solution

The fourth proportional to 185.00, 277.50 and 63.35 is: 95.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.00 : 277.50 = 63.35 : x
  2. Step 2: Convert to fraction form
    185.00/277.50 = 63.35/x
  3. Step 3: Cross multiply
    185.00x = 277.50 × 63.35
  4. Step 4: Simplify right side
    185.00x = 17,578.24
  5. Step 5: Solve for x
    x = 17,578.24/185.00
  6. Step 6: Final answer
    x = 95.02

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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.