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Finding the Fourth Proportional to 259.92, 359.16 and 202.32

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Solution

The fourth proportional to 259.92, 359.16 and 202.32 is: 279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 359.16 = 202.32 : x
  2. Step 2: Convert to fraction form
    259.92/359.16 = 202.32/x
  3. Step 3: Cross multiply
    259.92x = 359.16 × 202.32
  4. Step 4: Simplify right side
    259.92x = 72,665.25
  5. Step 5: Solve for x
    x = 72,665.25/259.92
  6. Step 6: Final answer
    x = 279.57

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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.