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Finding the Fourth Proportional to 205.94, 307.02 and 182.71

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Solution

The fourth proportional to 205.94, 307.02 and 182.71 is: 272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 307.02 = 182.71 : x
  2. Step 2: Convert to fraction form
    205.94/307.02 = 182.71/x
  3. Step 3: Cross multiply
    205.94x = 307.02 × 182.71
  4. Step 4: Simplify right side
    205.94x = 56,094.86
  5. Step 5: Solve for x
    x = 56,094.86/205.94
  6. Step 6: Final answer
    x = 272.38

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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.