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Finding the Fourth Proportional to 297.42, 410.58 and 199.02

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Solution

The fourth proportional to 297.42, 410.58 and 199.02 is: 274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 410.58 = 199.02 : x
  2. Step 2: Convert to fraction form
    297.42/410.58 = 199.02/x
  3. Step 3: Cross multiply
    297.42x = 410.58 × 199.02
  4. Step 4: Simplify right side
    297.42x = 81,713.63
  5. Step 5: Solve for x
    x = 81,713.63/297.42
  6. Step 6: Final answer
    x = 274.74

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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.