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Finding the Fourth Proportional to 284.24, 391.98 and 184.69

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Solution

The fourth proportional to 284.24, 391.98 and 184.69 is: 254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.24 : 391.98 = 184.69 : x
  2. Step 2: Convert to fraction form
    284.24/391.98 = 184.69/x
  3. Step 3: Cross multiply
    284.24x = 391.98 × 184.69
  4. Step 4: Simplify right side
    284.24x = 72,394.58
  5. Step 5: Solve for x
    x = 72,394.58/284.24
  6. Step 6: Final answer
    x = 254.69

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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.