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Finding the Fourth Proportional to 265.44, 366.44 and 186.93

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Solution

The fourth proportional to 265.44, 366.44 and 186.93 is: 258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 366.44 = 186.93 : x
  2. Step 2: Convert to fraction form
    265.44/366.44 = 186.93/x
  3. Step 3: Cross multiply
    265.44x = 366.44 × 186.93
  4. Step 4: Simplify right side
    265.44x = 68,497.69
  5. Step 5: Solve for x
    x = 68,497.69/265.44
  6. Step 6: Final answer
    x = 258.05

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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.