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Finding the Fourth Proportional to 259.26, 357.79 and 148.74

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Solution

The fourth proportional to 259.26, 357.79 and 148.74 is: 205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.26 : 357.79 = 148.74 : x
  2. Step 2: Convert to fraction form
    259.26/357.79 = 148.74/x
  3. Step 3: Cross multiply
    259.26x = 357.79 × 148.74
  4. Step 4: Simplify right side
    259.26x = 53,218.95
  5. Step 5: Solve for x
    x = 53,218.95/259.26
  6. Step 6: Final answer
    x = 205.27

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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.