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Finding the Fourth Proportional to 176.61, 244.31 and 165

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Solution

The fourth proportional to 176.61, 244.31 and 165 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.61 : 244.31 = 165 : x
  2. Step 2: Convert to fraction form
    176.61/244.31 = 165/x
  3. Step 3: Cross multiply
    176.61x = 244.31 × 165
  4. Step 4: Simplify right side
    176.61x = 40,310.33
  5. Step 5: Solve for x
    x = 40,310.33/176.61
  6. Step 6: Final answer
    x = 228.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.