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Finding the Fourth Proportional to 166.47, 228.78 and 135.33

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Solution

The fourth proportional to 166.47, 228.78 and 135.33 is: 185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.47 : 228.78 = 135.33 : x
  2. Step 2: Convert to fraction form
    166.47/228.78 = 135.33/x
  3. Step 3: Cross multiply
    166.47x = 228.78 × 135.33
  4. Step 4: Simplify right side
    166.47x = 30,960.80
  5. Step 5: Solve for x
    x = 30,960.80/166.47
  6. Step 6: Final answer
    x = 185.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.