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Finding the Fourth Proportional to 297.68, 410.64 and 194

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Solution

The fourth proportional to 297.68, 410.64 and 194 is: 267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.68 : 410.64 = 194 : x
  2. Step 2: Convert to fraction form
    297.68/410.64 = 194/x
  3. Step 3: Cross multiply
    297.68x = 410.64 × 194
  4. Step 4: Simplify right side
    297.68x = 79,664.16
  5. Step 5: Solve for x
    x = 79,664.16/297.68
  6. Step 6: Final answer
    x = 267.62

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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.