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Finding the Fourth Proportional to 297.29, 410.17 and 199.08

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Solution

The fourth proportional to 297.29, 410.17 and 199.08 is: 274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.29 : 410.17 = 199.08 : x
  2. Step 2: Convert to fraction form
    297.29/410.17 = 199.08/x
  3. Step 3: Cross multiply
    297.29x = 410.17 × 199.08
  4. Step 4: Simplify right side
    297.29x = 81,656.64
  5. Step 5: Solve for x
    x = 81,656.64/297.29
  6. Step 6: Final answer
    x = 274.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.