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Finding the Fourth Proportional to 166.88, 249.07 and 145.34

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Solution

The fourth proportional to 166.88, 249.07 and 145.34 is: 216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 249.07 = 145.34 : x
  2. Step 2: Convert to fraction form
    166.88/249.07 = 145.34/x
  3. Step 3: Cross multiply
    166.88x = 249.07 × 145.34
  4. Step 4: Simplify right side
    166.88x = 36,199.83
  5. Step 5: Solve for x
    x = 36,199.83/166.88
  6. Step 6: Final answer
    x = 216.92

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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.