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Finding the Fourth Proportional to 284.14, 391.86 and 185.86

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Solution

The fourth proportional to 284.14, 391.86 and 185.86 is: 256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.14 : 391.86 = 185.86 : x
  2. Step 2: Convert to fraction form
    284.14/391.86 = 185.86/x
  3. Step 3: Cross multiply
    284.14x = 391.86 × 185.86
  4. Step 4: Simplify right side
    284.14x = 72,831.10
  5. Step 5: Solve for x
    x = 72,831.10/284.14
  6. Step 6: Final answer
    x = 256.32

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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.