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Finding the Fourth Proportional to 284.44, 426.65 and 92.07

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Solution

The fourth proportional to 284.44, 426.65 and 92.07 is: 138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.44 : 426.65 = 92.07 : x
  2. Step 2: Convert to fraction form
    284.44/426.65 = 92.07/x
  3. Step 3: Cross multiply
    284.44x = 426.65 × 92.07
  4. Step 4: Simplify right side
    284.44x = 39,281.67
  5. Step 5: Solve for x
    x = 39,281.67/284.44
  6. Step 6: Final answer
    x = 138.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.