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Finding the Fourth Proportional to 259.34, 357.89 and 142.91

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Solution

The fourth proportional to 259.34, 357.89 and 142.91 is: 197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.34 : 357.89 = 142.91 : x
  2. Step 2: Convert to fraction form
    259.34/357.89 = 142.91/x
  3. Step 3: Cross multiply
    259.34x = 357.89 × 142.91
  4. Step 4: Simplify right side
    259.34x = 51,146.06
  5. Step 5: Solve for x
    x = 51,146.06/259.34
  6. Step 6: Final answer
    x = 197.22

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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.