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Finding the Fourth Proportional to 284.69, 392.94 and 185.11

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Solution

The fourth proportional to 284.69, 392.94 and 185.11 is: 255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.69 : 392.94 = 185.11 : x
  2. Step 2: Convert to fraction form
    284.69/392.94 = 185.11/x
  3. Step 3: Cross multiply
    284.69x = 392.94 × 185.11
  4. Step 4: Simplify right side
    284.69x = 72,734.23
  5. Step 5: Solve for x
    x = 72,734.23/284.69
  6. Step 6: Final answer
    x = 255.49

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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.