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Finding the Fourth Proportional to 259.55, 357.43 and 243.08

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Solution

The fourth proportional to 259.55, 357.43 and 243.08 is: 334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.55 : 357.43 = 243.08 : x
  2. Step 2: Convert to fraction form
    259.55/357.43 = 243.08/x
  3. Step 3: Cross multiply
    259.55x = 357.43 × 243.08
  4. Step 4: Simplify right side
    259.55x = 86,884.08
  5. Step 5: Solve for x
    x = 86,884.08/259.55
  6. Step 6: Final answer
    x = 334.75

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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.