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Finding the Fourth Proportional to 176.75, 243.96 and 110.39

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Solution

The fourth proportional to 176.75, 243.96 and 110.39 is: 152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 243.96 = 110.39 : x
  2. Step 2: Convert to fraction form
    176.75/243.96 = 110.39/x
  3. Step 3: Cross multiply
    176.75x = 243.96 × 110.39
  4. Step 4: Simplify right side
    176.75x = 26,929.52
  5. Step 5: Solve for x
    x = 26,929.52/176.75
  6. Step 6: Final answer
    x = 152.36

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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.