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Finding the Fourth Proportional to 284.25, 426.62 and 176.13

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Solution

The fourth proportional to 284.25, 426.62 and 176.13 is: 264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 426.62 = 176.13 : x
  2. Step 2: Convert to fraction form
    284.25/426.62 = 176.13/x
  3. Step 3: Cross multiply
    284.25x = 426.62 × 176.13
  4. Step 4: Simplify right side
    284.25x = 75,139.70
  5. Step 5: Solve for x
    x = 75,139.70/284.25
  6. Step 6: Final answer
    x = 264.34

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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.