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Finding the Fourth Proportional to 167.77, 250.35 and 150.53

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Solution

The fourth proportional to 167.77, 250.35 and 150.53 is: 224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.77 : 250.35 = 150.53 : x
  2. Step 2: Convert to fraction form
    167.77/250.35 = 150.53/x
  3. Step 3: Cross multiply
    167.77x = 250.35 × 150.53
  4. Step 4: Simplify right side
    167.77x = 37,686.54
  5. Step 5: Solve for x
    x = 37,686.54/167.77
  6. Step 6: Final answer
    x = 224.63

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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.