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Finding the Fourth Proportional to 166.94, 249.95 and 98.14

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Solution

The fourth proportional to 166.94, 249.95 and 98.14 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.94 : 249.95 = 98.14 : x
  2. Step 2: Convert to fraction form
    166.94/249.95 = 98.14/x
  3. Step 3: Cross multiply
    166.94x = 249.95 × 98.14
  4. Step 4: Simplify right side
    166.94x = 24,529.71
  5. Step 5: Solve for x
    x = 24,529.71/166.94
  6. Step 6: Final answer
    x = 146.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.