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Finding the Fourth Proportional to 284.47, 426.75 and 122.15

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Solution

The fourth proportional to 284.47, 426.75 and 122.15 is: 183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.47 : 426.75 = 122.15 : x
  2. Step 2: Convert to fraction form
    284.47/426.75 = 122.15/x
  3. Step 3: Cross multiply
    284.47x = 426.75 × 122.15
  4. Step 4: Simplify right side
    284.47x = 52,128.12
  5. Step 5: Solve for x
    x = 52,128.12/284.47
  6. Step 6: Final answer
    x = 183.25

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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.