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Finding the Fourth Proportional to 284.50, 392.50 and 179.54

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Solution

The fourth proportional to 284.50, 392.50 and 179.54 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 392.50 = 179.54 : x
  2. Step 2: Convert to fraction form
    284.50/392.50 = 179.54/x
  3. Step 3: Cross multiply
    284.50x = 392.50 × 179.54
  4. Step 4: Simplify right side
    284.50x = 70,469.45
  5. Step 5: Solve for x
    x = 70,469.45/284.50
  6. Step 6: Final answer
    x = 247.70

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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.