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Finding the Fourth Proportional to 265.92, 364.58 and 261.06

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Solution

The fourth proportional to 265.92, 364.58 and 261.06 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 364.58 = 261.06 : x
  2. Step 2: Convert to fraction form
    265.92/364.58 = 261.06/x
  3. Step 3: Cross multiply
    265.92x = 364.58 × 261.06
  4. Step 4: Simplify right side
    265.92x = 95,175.95
  5. Step 5: Solve for x
    x = 95,175.95/265.92
  6. Step 6: Final answer
    x = 357.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.