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Finding the Fourth Proportional to 265.05, 365.39 and 186.12

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Solution

The fourth proportional to 265.05, 365.39 and 186.12 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.05 : 365.39 = 186.12 : x
  2. Step 2: Convert to fraction form
    265.05/365.39 = 186.12/x
  3. Step 3: Cross multiply
    265.05x = 365.39 × 186.12
  4. Step 4: Simplify right side
    265.05x = 68,006.39
  5. Step 5: Solve for x
    x = 68,006.39/265.05
  6. Step 6: Final answer
    x = 256.58

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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.