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Finding the Fourth Proportional to 259.60, 357.76 and 204.28

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Solution

The fourth proportional to 259.60, 357.76 and 204.28 is: 281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.60 : 357.76 = 204.28 : x
  2. Step 2: Convert to fraction form
    259.60/357.76 = 204.28/x
  3. Step 3: Cross multiply
    259.60x = 357.76 × 204.28
  4. Step 4: Simplify right side
    259.60x = 73,083.21
  5. Step 5: Solve for x
    x = 73,083.21/259.60
  6. Step 6: Final answer
    x = 281.52

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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.