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Finding the Fourth Proportional to 295.14, 443.10 and 209.02

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Solution

The fourth proportional to 295.14, 443.10 and 209.02 is: 313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.14 : 443.10 = 209.02 : x
  2. Step 2: Convert to fraction form
    295.14/443.10 = 209.02/x
  3. Step 3: Cross multiply
    295.14x = 443.10 × 209.02
  4. Step 4: Simplify right side
    295.14x = 92,616.76
  5. Step 5: Solve for x
    x = 92,616.76/295.14
  6. Step 6: Final answer
    x = 313.81

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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.