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Finding the Fourth Proportional to 187.90, 280.14 and 183.16

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Solution

The fourth proportional to 187.90, 280.14 and 183.16 is: 273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.90 : 280.14 = 183.16 : x
  2. Step 2: Convert to fraction form
    187.90/280.14 = 183.16/x
  3. Step 3: Cross multiply
    187.90x = 280.14 × 183.16
  4. Step 4: Simplify right side
    187.90x = 51,310.44
  5. Step 5: Solve for x
    x = 51,310.44/187.90
  6. Step 6: Final answer
    x = 273.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.