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Finding the Fourth Proportional to 163.24, 244.86 and 117.76

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Solution

The fourth proportional to 163.24, 244.86 and 117.76 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.24 : 244.86 = 117.76 : x
  2. Step 2: Convert to fraction form
    163.24/244.86 = 117.76/x
  3. Step 3: Cross multiply
    163.24x = 244.86 × 117.76
  4. Step 4: Simplify right side
    163.24x = 28,834.71
  5. Step 5: Solve for x
    x = 28,834.71/163.24
  6. Step 6: Final answer
    x = 176.64

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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.