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Finding the Fourth Proportional to 266.15, 366.77 and 192.32

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Solution

The fourth proportional to 266.15, 366.77 and 192.32 is: 265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.15 : 366.77 = 192.32 : x
  2. Step 2: Convert to fraction form
    266.15/366.77 = 192.32/x
  3. Step 3: Cross multiply
    266.15x = 366.77 × 192.32
  4. Step 4: Simplify right side
    266.15x = 70,538.60
  5. Step 5: Solve for x
    x = 70,538.60/266.15
  6. Step 6: Final answer
    x = 265.04

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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.