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Finding the Fourth Proportional to 284.54, 392.63 and 179.59

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Solution

The fourth proportional to 284.54, 392.63 and 179.59 is: 247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.54 : 392.63 = 179.59 : x
  2. Step 2: Convert to fraction form
    284.54/392.63 = 179.59/x
  3. Step 3: Cross multiply
    284.54x = 392.63 × 179.59
  4. Step 4: Simplify right side
    284.54x = 70,511.44
  5. Step 5: Solve for x
    x = 70,511.44/284.54
  6. Step 6: Final answer
    x = 247.81

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