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Finding the Fourth Proportional to 297.76, 410.70 and 192.82

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Solution

The fourth proportional to 297.76, 410.70 and 192.82 is: 265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.76 : 410.70 = 192.82 : x
  2. Step 2: Convert to fraction form
    297.76/410.70 = 192.82/x
  3. Step 3: Cross multiply
    297.76x = 410.70 × 192.82
  4. Step 4: Simplify right side
    297.76x = 79,191.17
  5. Step 5: Solve for x
    x = 79,191.17/297.76
  6. Step 6: Final answer
    x = 265.96

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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.