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Finding the Fourth Proportional to 284.10, 391.82 and 184.43

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Solution

The fourth proportional to 284.10, 391.82 and 184.43 is: 254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.10 : 391.82 = 184.43 : x
  2. Step 2: Convert to fraction form
    284.10/391.82 = 184.43/x
  3. Step 3: Cross multiply
    284.10x = 391.82 × 184.43
  4. Step 4: Simplify right side
    284.10x = 72,260.48
  5. Step 5: Solve for x
    x = 72,260.48/284.10
  6. Step 6: Final answer
    x = 254.35

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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.