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Finding the Fourth Proportional to 362.54, 500.32 and 205.16

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Solution

The fourth proportional to 362.54, 500.32 and 205.16 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.54 : 500.32 = 205.16 : x
  2. Step 2: Convert to fraction form
    362.54/500.32 = 205.16/x
  3. Step 3: Cross multiply
    362.54x = 500.32 × 205.16
  4. Step 4: Simplify right side
    362.54x = 102,645.65
  5. Step 5: Solve for x
    x = 102,645.65/362.54
  6. Step 6: Final answer
    x = 283.13

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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.