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Finding the Fourth Proportional to 362.36, 500.14 and 215

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Solution

The fourth proportional to 362.36, 500.14 and 215 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.36 : 500.14 = 215 : x
  2. Step 2: Convert to fraction form
    362.36/500.14 = 215/x
  3. Step 3: Cross multiply
    362.36x = 500.14 × 215
  4. Step 4: Simplify right side
    362.36x = 107,530.10
  5. Step 5: Solve for x
    x = 107,530.10/362.36
  6. Step 6: Final answer
    x = 296.75

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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.