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Finding the Fourth Proportional to 265.77, 366.84 and 178.47

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Solution

The fourth proportional to 265.77, 366.84 and 178.47 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.77 : 366.84 = 178.47 : x
  2. Step 2: Convert to fraction form
    265.77/366.84 = 178.47/x
  3. Step 3: Cross multiply
    265.77x = 366.84 × 178.47
  4. Step 4: Simplify right side
    265.77x = 65,469.93
  5. Step 5: Solve for x
    x = 65,469.93/265.77
  6. Step 6: Final answer
    x = 246.34

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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.