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Finding the Fourth Proportional to 265.69, 366.72 and 178.31

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Solution

The fourth proportional to 265.69, 366.72 and 178.31 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.69 : 366.72 = 178.31 : x
  2. Step 2: Convert to fraction form
    265.69/366.72 = 178.31/x
  3. Step 3: Cross multiply
    265.69x = 366.72 × 178.31
  4. Step 4: Simplify right side
    265.69x = 65,390.09
  5. Step 5: Solve for x
    x = 65,390.09/265.69
  6. Step 6: Final answer
    x = 246.11

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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.