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Finding the Fourth Proportional to 163, 243.86 and 149.64

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Solution

The fourth proportional to 163, 243.86 and 149.64 is: 223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163 : 243.86 = 149.64 : x
  2. Step 2: Convert to fraction form
    163/243.86 = 149.64/x
  3. Step 3: Cross multiply
    163x = 243.86 × 149.64
  4. Step 4: Simplify right side
    163x = 36,491.21
  5. Step 5: Solve for x
    x = 36,491.21/163
  6. Step 6: Final answer
    x = 223.87

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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.