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Finding the Fourth Proportional to 185.09, 277.64 and 99.59

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Solution

The fourth proportional to 185.09, 277.64 and 99.59 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.09 : 277.64 = 99.59 : x
  2. Step 2: Convert to fraction form
    185.09/277.64 = 99.59/x
  3. Step 3: Cross multiply
    185.09x = 277.64 × 99.59
  4. Step 4: Simplify right side
    185.09x = 27,650.17
  5. Step 5: Solve for x
    x = 27,650.17/185.09
  6. Step 6: Final answer
    x = 149.39

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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.