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Finding the Fourth Proportional to 176.18, 262.98 and 163.52

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Solution

The fourth proportional to 176.18, 262.98 and 163.52 is: 244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.18 : 262.98 = 163.52 : x
  2. Step 2: Convert to fraction form
    176.18/262.98 = 163.52/x
  3. Step 3: Cross multiply
    176.18x = 262.98 × 163.52
  4. Step 4: Simplify right side
    176.18x = 43,000.36
  5. Step 5: Solve for x
    x = 43,000.36/176.18
  6. Step 6: Final answer
    x = 244.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.