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Finding the Fourth Proportional to 370.27, 510.94 and 204.49

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Solution

The fourth proportional to 370.27, 510.94 and 204.49 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 510.94 = 204.49 : x
  2. Step 2: Convert to fraction form
    370.27/510.94 = 204.49/x
  3. Step 3: Cross multiply
    370.27x = 510.94 × 204.49
  4. Step 4: Simplify right side
    370.27x = 104,483.01
  5. Step 5: Solve for x
    x = 104,483.01/370.27
  6. Step 6: Final answer
    x = 282.18

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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.