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Finding the Fourth Proportional to 297.64, 410.60 and 192.82

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Solution

The fourth proportional to 297.64, 410.60 and 192.82 is: 265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 410.60 = 192.82 : x
  2. Step 2: Convert to fraction form
    297.64/410.60 = 192.82/x
  3. Step 3: Cross multiply
    297.64x = 410.60 × 192.82
  4. Step 4: Simplify right side
    297.64x = 79,168.87
  5. Step 5: Solve for x
    x = 79,168.87/297.64
  6. Step 6: Final answer
    x = 265.99

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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.