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Finding the Fourth Proportional to 182.95, 273.14 and 152.56

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Solution

The fourth proportional to 182.95, 273.14 and 152.56 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.95 : 273.14 = 152.56 : x
  2. Step 2: Convert to fraction form
    182.95/273.14 = 152.56/x
  3. Step 3: Cross multiply
    182.95x = 273.14 × 152.56
  4. Step 4: Simplify right side
    182.95x = 41,670.24
  5. Step 5: Solve for x
    x = 41,670.24/182.95
  6. Step 6: Final answer
    x = 227.77

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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.