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Finding the Fourth Proportional to 205.26, 306.24 and 184.74

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Solution

The fourth proportional to 205.26, 306.24 and 184.74 is: 275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 306.24 = 184.74 : x
  2. Step 2: Convert to fraction form
    205.26/306.24 = 184.74/x
  3. Step 3: Cross multiply
    205.26x = 306.24 × 184.74
  4. Step 4: Simplify right side
    205.26x = 56,574.78
  5. Step 5: Solve for x
    x = 56,574.78/205.26
  6. Step 6: Final answer
    x = 275.62

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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.