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Finding the Fourth Proportional to 259.78, 357.42 and 236.47

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Solution

The fourth proportional to 259.78, 357.42 and 236.47 is: 325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.78 : 357.42 = 236.47 : x
  2. Step 2: Convert to fraction form
    259.78/357.42 = 236.47/x
  3. Step 3: Cross multiply
    259.78x = 357.42 × 236.47
  4. Step 4: Simplify right side
    259.78x = 84,519.11
  5. Step 5: Solve for x
    x = 84,519.11/259.78
  6. Step 6: Final answer
    x = 325.35

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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.