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Finding the Fourth Proportional to 185.95, 279.38 and 140.16

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Solution

The fourth proportional to 185.95, 279.38 and 140.16 is: 210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.95 : 279.38 = 140.16 : x
  2. Step 2: Convert to fraction form
    185.95/279.38 = 140.16/x
  3. Step 3: Cross multiply
    185.95x = 279.38 × 140.16
  4. Step 4: Simplify right side
    185.95x = 39,158.25
  5. Step 5: Solve for x
    x = 39,158.25/185.95
  6. Step 6: Final answer
    x = 210.59

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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.