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Finding the Fourth Proportional to 205.04, 308.94 and 182.93

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Solution

The fourth proportional to 205.04, 308.94 and 182.93 is: 275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.04 : 308.94 = 182.93 : x
  2. Step 2: Convert to fraction form
    205.04/308.94 = 182.93/x
  3. Step 3: Cross multiply
    205.04x = 308.94 × 182.93
  4. Step 4: Simplify right side
    205.04x = 56,513.90
  5. Step 5: Solve for x
    x = 56,513.90/205.04
  6. Step 6: Final answer
    x = 275.63

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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.