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Finding the Fourth Proportional to 167.46, 249.78 and 153.48

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Solution

The fourth proportional to 167.46, 249.78 and 153.48 is: 228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.46 : 249.78 = 153.48 : x
  2. Step 2: Convert to fraction form
    167.46/249.78 = 153.48/x
  3. Step 3: Cross multiply
    167.46x = 249.78 × 153.48
  4. Step 4: Simplify right side
    167.46x = 38,336.23
  5. Step 5: Solve for x
    x = 38,336.23/167.46
  6. Step 6: Final answer
    x = 228.93

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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.