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Finding the Fourth Proportional to 185.76, 280.44 and 182.16

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Solution

The fourth proportional to 185.76, 280.44 and 182.16 is: 275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 280.44 = 182.16 : x
  2. Step 2: Convert to fraction form
    185.76/280.44 = 182.16/x
  3. Step 3: Cross multiply
    185.76x = 280.44 × 182.16
  4. Step 4: Simplify right side
    185.76x = 51,084.95
  5. Step 5: Solve for x
    x = 51,084.95/185.76
  6. Step 6: Final answer
    x = 275.01

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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.