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Finding the Fourth Proportional to 295.45, 442.21 and 166.81

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Solution

The fourth proportional to 295.45, 442.21 and 166.81 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 442.21 = 166.81 : x
  2. Step 2: Convert to fraction form
    295.45/442.21 = 166.81/x
  3. Step 3: Cross multiply
    295.45x = 442.21 × 166.81
  4. Step 4: Simplify right side
    295.45x = 73,765.05
  5. Step 5: Solve for x
    x = 73,765.05/295.45
  6. Step 6: Final answer
    x = 249.67

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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.