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Finding the Fourth Proportional to 284.99, 426.74 and 181.98

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Solution

The fourth proportional to 284.99, 426.74 and 181.98 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 426.74 = 181.98 : x
  2. Step 2: Convert to fraction form
    284.99/426.74 = 181.98/x
  3. Step 3: Cross multiply
    284.99x = 426.74 × 181.98
  4. Step 4: Simplify right side
    284.99x = 77,657.24
  5. Step 5: Solve for x
    x = 77,657.24/284.99
  6. Step 6: Final answer
    x = 272.50

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Why These Related Problems?

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