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Finding the Fourth Proportional to 168.78, 233.10 and 156.54

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Solution

The fourth proportional to 168.78, 233.10 and 156.54 is: 216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 233.10 = 156.54 : x
  2. Step 2: Convert to fraction form
    168.78/233.10 = 156.54/x
  3. Step 3: Cross multiply
    168.78x = 233.10 × 156.54
  4. Step 4: Simplify right side
    168.78x = 36,489.47
  5. Step 5: Solve for x
    x = 36,489.47/168.78
  6. Step 6: Final answer
    x = 216.20

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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.