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Finding the Fourth Proportional to 362.51, 500.25 and 213.13

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Solution

The fourth proportional to 362.51, 500.25 and 213.13 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.51 : 500.25 = 213.13 : x
  2. Step 2: Convert to fraction form
    362.51/500.25 = 213.13/x
  3. Step 3: Cross multiply
    362.51x = 500.25 × 213.13
  4. Step 4: Simplify right side
    362.51x = 106,619.71
  5. Step 5: Solve for x
    x = 106,619.71/362.51
  6. Step 6: Final answer
    x = 294.12

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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.