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Finding the Fourth Proportional to 284.32, 425.79 and 162.21

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Solution

The fourth proportional to 284.32, 425.79 and 162.21 is: 242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 425.79 = 162.21 : x
  2. Step 2: Convert to fraction form
    284.32/425.79 = 162.21/x
  3. Step 3: Cross multiply
    284.32x = 425.79 × 162.21
  4. Step 4: Simplify right side
    284.32x = 69,067.40
  5. Step 5: Solve for x
    x = 69,067.40/284.32
  6. Step 6: Final answer
    x = 242.92

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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.