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Finding the Fourth Proportional to 259.26, 357.80 and 142.82

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Solution

The fourth proportional to 259.26, 357.80 and 142.82 is: 197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.26 : 357.80 = 142.82 : x
  2. Step 2: Convert to fraction form
    259.26/357.80 = 142.82/x
  3. Step 3: Cross multiply
    259.26x = 357.80 × 142.82
  4. Step 4: Simplify right side
    259.26x = 51,101.18
  5. Step 5: Solve for x
    x = 51,101.18/259.26
  6. Step 6: Final answer
    x = 197.10

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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.