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Finding the Fourth Proportional to 265.93, 365.90 and 259.79

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Solution

The fourth proportional to 265.93, 365.90 and 259.79 is: 357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.93 : 365.90 = 259.79 : x
  2. Step 2: Convert to fraction form
    265.93/365.90 = 259.79/x
  3. Step 3: Cross multiply
    265.93x = 365.90 × 259.79
  4. Step 4: Simplify right side
    265.93x = 95,057.16
  5. Step 5: Solve for x
    x = 95,057.16/265.93
  6. Step 6: Final answer
    x = 357.45

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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.