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Finding the Fourth Proportional to 362.51, 500.24 and 205.14

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Solution

The fourth proportional to 362.51, 500.24 and 205.14 is: 283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.51 : 500.24 = 205.14 : x
  2. Step 2: Convert to fraction form
    362.51/500.24 = 205.14/x
  3. Step 3: Cross multiply
    362.51x = 500.24 × 205.14
  4. Step 4: Simplify right side
    362.51x = 102,619.23
  5. Step 5: Solve for x
    x = 102,619.23/362.51
  6. Step 6: Final answer
    x = 283.08

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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.