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Finding the Fourth Proportional to 186.16, 280.63 and 183.36

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Solution

The fourth proportional to 186.16, 280.63 and 183.36 is: 276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 280.63 = 183.36 : x
  2. Step 2: Convert to fraction form
    186.16/280.63 = 183.36/x
  3. Step 3: Cross multiply
    186.16x = 280.63 × 183.36
  4. Step 4: Simplify right side
    186.16x = 51,456.32
  5. Step 5: Solve for x
    x = 51,456.32/186.16
  6. Step 6: Final answer
    x = 276.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.