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Finding the Fourth Proportional to 205.64, 306.77 and 180.84

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Solution

The fourth proportional to 205.64, 306.77 and 180.84 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.64 : 306.77 = 180.84 : x
  2. Step 2: Convert to fraction form
    205.64/306.77 = 180.84/x
  3. Step 3: Cross multiply
    205.64x = 306.77 × 180.84
  4. Step 4: Simplify right side
    205.64x = 55,476.29
  5. Step 5: Solve for x
    x = 55,476.29/205.64
  6. Step 6: Final answer
    x = 269.77

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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.