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Finding the Fourth Proportional to 236.02, 354.08 and 185.30

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Solution

The fourth proportional to 236.02, 354.08 and 185.30 is: 277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.02 : 354.08 = 185.30 : x
  2. Step 2: Convert to fraction form
    236.02/354.08 = 185.30/x
  3. Step 3: Cross multiply
    236.02x = 354.08 × 185.30
  4. Step 4: Simplify right side
    236.02x = 65,611.02
  5. Step 5: Solve for x
    x = 65,611.02/236.02
  6. Step 6: Final answer
    x = 277.99

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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.