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Finding the Fourth Proportional to 177.09, 263.42 and 168.45

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Solution

The fourth proportional to 177.09, 263.42 and 168.45 is: 250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 263.42 = 168.45 : x
  2. Step 2: Convert to fraction form
    177.09/263.42 = 168.45/x
  3. Step 3: Cross multiply
    177.09x = 263.42 × 168.45
  4. Step 4: Simplify right side
    177.09x = 44,373.52
  5. Step 5: Solve for x
    x = 44,373.52/177.09
  6. Step 6: Final answer
    x = 250.57

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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.