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Finding the Fourth Proportional to 284.68, 426.25 and 181.40

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Solution

The fourth proportional to 284.68, 426.25 and 181.40 is: 271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 426.25 = 181.40 : x
  2. Step 2: Convert to fraction form
    284.68/426.25 = 181.40/x
  3. Step 3: Cross multiply
    284.68x = 426.25 × 181.40
  4. Step 4: Simplify right side
    284.68x = 77,322.20
  5. Step 5: Solve for x
    x = 77,322.20/284.68
  6. Step 6: Final answer
    x = 271.62

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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.