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Finding the Fourth Proportional to 259.82, 357.60 and 186.02

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Solution

The fourth proportional to 259.82, 357.60 and 186.02 is: 256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.82 : 357.60 = 186.02 : x
  2. Step 2: Convert to fraction form
    259.82/357.60 = 186.02/x
  3. Step 3: Cross multiply
    259.82x = 357.60 × 186.02
  4. Step 4: Simplify right side
    259.82x = 66,520.75
  5. Step 5: Solve for x
    x = 66,520.75/259.82
  6. Step 6: Final answer
    x = 256.03

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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.