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Finding the Fourth Proportional to 284.34, 426.24 and 181.35

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Solution

The fourth proportional to 284.34, 426.24 and 181.35 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.34 : 426.24 = 181.35 : x
  2. Step 2: Convert to fraction form
    284.34/426.24 = 181.35/x
  3. Step 3: Cross multiply
    284.34x = 426.24 × 181.35
  4. Step 4: Simplify right side
    284.34x = 77,298.62
  5. Step 5: Solve for x
    x = 77,298.62/284.34
  6. Step 6: Final answer
    x = 271.85

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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.