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Finding the Fourth Proportional to 259.07, 357.26 and 214.94

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Solution

The fourth proportional to 259.07, 357.26 and 214.94 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.07 : 357.26 = 214.94 : x
  2. Step 2: Convert to fraction form
    259.07/357.26 = 214.94/x
  3. Step 3: Cross multiply
    259.07x = 357.26 × 214.94
  4. Step 4: Simplify right side
    259.07x = 76,789.28
  5. Step 5: Solve for x
    x = 76,789.28/259.07
  6. Step 6: Final answer
    x = 296.41

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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.