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Finding the Fourth Proportional to 370.25, 510.95 and 215.09

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Solution

The fourth proportional to 370.25, 510.95 and 215.09 is: 296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.25 : 510.95 = 215.09 : x
  2. Step 2: Convert to fraction form
    370.25/510.95 = 215.09/x
  3. Step 3: Cross multiply
    370.25x = 510.95 × 215.09
  4. Step 4: Simplify right side
    370.25x = 109,900.24
  5. Step 5: Solve for x
    x = 109,900.24/370.25
  6. Step 6: Final answer
    x = 296.83

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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.