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Finding the Fourth Proportional to 182.09, 272.98 and 147.77

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Solution

The fourth proportional to 182.09, 272.98 and 147.77 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.09 : 272.98 = 147.77 : x
  2. Step 2: Convert to fraction form
    182.09/272.98 = 147.77/x
  3. Step 3: Cross multiply
    182.09x = 272.98 × 147.77
  4. Step 4: Simplify right side
    182.09x = 40,336.89
  5. Step 5: Solve for x
    x = 40,336.89/182.09
  6. Step 6: Final answer
    x = 221.52

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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.