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Finding the Fourth Proportional to 284.09, 392.04 and 173.55

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Solution

The fourth proportional to 284.09, 392.04 and 173.55 is: 239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.09 : 392.04 = 173.55 : x
  2. Step 2: Convert to fraction form
    284.09/392.04 = 173.55/x
  3. Step 3: Cross multiply
    284.09x = 392.04 × 173.55
  4. Step 4: Simplify right side
    284.09x = 68,037.72
  5. Step 5: Solve for x
    x = 68,037.72/284.09
  6. Step 6: Final answer
    x = 239.50

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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.