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Finding the Fourth Proportional to 182.39, 273.19 and 147.53

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Solution

The fourth proportional to 182.39, 273.19 and 147.53 is: 220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.39 : 273.19 = 147.53 : x
  2. Step 2: Convert to fraction form
    182.39/273.19 = 147.53/x
  3. Step 3: Cross multiply
    182.39x = 273.19 × 147.53
  4. Step 4: Simplify right side
    182.39x = 40,303.54
  5. Step 5: Solve for x
    x = 40,303.54/182.39
  6. Step 6: Final answer
    x = 220.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.