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Finding the Fourth Proportional to 182.98, 275.71 and 151.19

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Solution

The fourth proportional to 182.98, 275.71 and 151.19 is: 227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.98 : 275.71 = 151.19 : x
  2. Step 2: Convert to fraction form
    182.98/275.71 = 151.19/x
  3. Step 3: Cross multiply
    182.98x = 275.71 × 151.19
  4. Step 4: Simplify right side
    182.98x = 41,685.25
  5. Step 5: Solve for x
    x = 41,685.25/182.98
  6. Step 6: Final answer
    x = 227.81

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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.