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Finding the Fourth Proportional to 266.24, 366.60 and 192.41

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Solution

The fourth proportional to 266.24, 366.60 and 192.41 is: 264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 366.60 = 192.41 : x
  2. Step 2: Convert to fraction form
    266.24/366.60 = 192.41/x
  3. Step 3: Cross multiply
    266.24x = 366.60 × 192.41
  4. Step 4: Simplify right side
    266.24x = 70,537.51
  5. Step 5: Solve for x
    x = 70,537.51/266.24
  6. Step 6: Final answer
    x = 264.94

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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.