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Finding the Fourth Proportional to 370.38, 511.16 and 213.02

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Solution

The fourth proportional to 370.38, 511.16 and 213.02 is: 293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.38 : 511.16 = 213.02 : x
  2. Step 2: Convert to fraction form
    370.38/511.16 = 213.02/x
  3. Step 3: Cross multiply
    370.38x = 511.16 × 213.02
  4. Step 4: Simplify right side
    370.38x = 108,887.30
  5. Step 5: Solve for x
    x = 108,887.30/370.38
  6. Step 6: Final answer
    x = 293.99

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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.