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Finding the Fourth Proportional to 295.80, 443.88 and 166.08

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Solution

The fourth proportional to 295.80, 443.88 and 166.08 is: 249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.80 : 443.88 = 166.08 : x
  2. Step 2: Convert to fraction form
    295.80/443.88 = 166.08/x
  3. Step 3: Cross multiply
    295.80x = 443.88 × 166.08
  4. Step 4: Simplify right side
    295.80x = 73,719.59
  5. Step 5: Solve for x
    x = 73,719.59/295.80
  6. Step 6: Final answer
    x = 249.22

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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.