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Finding the Fourth Proportional to 259.08, 357.06 and 185.40

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Solution

The fourth proportional to 259.08, 357.06 and 185.40 is: 255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.08 : 357.06 = 185.40 : x
  2. Step 2: Convert to fraction form
    259.08/357.06 = 185.40/x
  3. Step 3: Cross multiply
    259.08x = 357.06 × 185.40
  4. Step 4: Simplify right side
    259.08x = 66,198.92
  5. Step 5: Solve for x
    x = 66,198.92/259.08
  6. Step 6: Final answer
    x = 255.52

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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.