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Finding the Fourth Proportional to 284.34, 426.51 and 91.98

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Solution

The fourth proportional to 284.34, 426.51 and 91.98 is: 137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.34 : 426.51 = 91.98 : x
  2. Step 2: Convert to fraction form
    284.34/426.51 = 91.98/x
  3. Step 3: Cross multiply
    284.34x = 426.51 × 91.98
  4. Step 4: Simplify right side
    284.34x = 39,230.39
  5. Step 5: Solve for x
    x = 39,230.39/284.34
  6. Step 6: Final answer
    x = 137.97

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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.