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Finding the Fourth Proportional to 259.07, 357.51 and 142.63

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Solution

The fourth proportional to 259.07, 357.51 and 142.63 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.07 : 357.51 = 142.63 : x
  2. Step 2: Convert to fraction form
    259.07/357.51 = 142.63/x
  3. Step 3: Cross multiply
    259.07x = 357.51 × 142.63
  4. Step 4: Simplify right side
    259.07x = 50,989.15
  5. Step 5: Solve for x
    x = 50,989.15/259.07
  6. Step 6: Final answer
    x = 196.82

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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.