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Finding the Fourth Proportional to 284.58, 392.44 and 179.68

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Solution

The fourth proportional to 284.58, 392.44 and 179.68 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.58 : 392.44 = 179.68 : x
  2. Step 2: Convert to fraction form
    284.58/392.44 = 179.68/x
  3. Step 3: Cross multiply
    284.58x = 392.44 × 179.68
  4. Step 4: Simplify right side
    284.58x = 70,513.62
  5. Step 5: Solve for x
    x = 70,513.62/284.58
  6. Step 6: Final answer
    x = 247.78

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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.