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Finding the Fourth Proportional to 284.08, 391.66 and 185.77

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Solution

The fourth proportional to 284.08, 391.66 and 185.77 is: 256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.08 : 391.66 = 185.77 : x
  2. Step 2: Convert to fraction form
    284.08/391.66 = 185.77/x
  3. Step 3: Cross multiply
    284.08x = 391.66 × 185.77
  4. Step 4: Simplify right side
    284.08x = 72,758.68
  5. Step 5: Solve for x
    x = 72,758.68/284.08
  6. Step 6: Final answer
    x = 256.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.