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Finding the Fourth Proportional to 259.53, 357.80 and 200.54

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Solution

The fourth proportional to 259.53, 357.80 and 200.54 is: 276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.53 : 357.80 = 200.54 : x
  2. Step 2: Convert to fraction form
    259.53/357.80 = 200.54/x
  3. Step 3: Cross multiply
    259.53x = 357.80 × 200.54
  4. Step 4: Simplify right side
    259.53x = 71,750.42
  5. Step 5: Solve for x
    x = 71,750.42/259.53
  6. Step 6: Final answer
    x = 276.46

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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.