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Finding the Fourth Proportional to 259.39, 357.90 and 154.52

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Solution

The fourth proportional to 259.39, 357.90 and 154.52 is: 213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.39 : 357.90 = 154.52 : x
  2. Step 2: Convert to fraction form
    259.39/357.90 = 154.52/x
  3. Step 3: Cross multiply
    259.39x = 357.90 × 154.52
  4. Step 4: Simplify right side
    259.39x = 55,300.92
  5. Step 5: Solve for x
    x = 55,300.92/259.39
  6. Step 6: Final answer
    x = 213.20

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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.