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Finding the Fourth Proportional to 284.80, 392.71 and 185.09

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Solution

The fourth proportional to 284.80, 392.71 and 185.09 is: 255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 392.71 = 185.09 : x
  2. Step 2: Convert to fraction form
    284.80/392.71 = 185.09/x
  3. Step 3: Cross multiply
    284.80x = 392.71 × 185.09
  4. Step 4: Simplify right side
    284.80x = 72,684.27
  5. Step 5: Solve for x
    x = 72,684.27/284.80
  6. Step 6: Final answer
    x = 255.21

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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.