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Finding the Fourth Proportional to 266.05, 366.82 and 192.34

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Solution

The fourth proportional to 266.05, 366.82 and 192.34 is: 265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.05 : 366.82 = 192.34 : x
  2. Step 2: Convert to fraction form
    266.05/366.82 = 192.34/x
  3. Step 3: Cross multiply
    266.05x = 366.82 × 192.34
  4. Step 4: Simplify right side
    266.05x = 70,552.76
  5. Step 5: Solve for x
    x = 70,552.76/266.05
  6. Step 6: Final answer
    x = 265.19

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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.