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Finding the Fourth Proportional to 284.27, 426.27 and 162.50

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Solution

The fourth proportional to 284.27, 426.27 and 162.50 is: 243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.27 : 426.27 = 162.50 : x
  2. Step 2: Convert to fraction form
    284.27/426.27 = 162.50/x
  3. Step 3: Cross multiply
    284.27x = 426.27 × 162.50
  4. Step 4: Simplify right side
    284.27x = 69,268.88
  5. Step 5: Solve for x
    x = 69,268.88/284.27
  6. Step 6: Final answer
    x = 243.67

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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.