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Finding the Fourth Proportional to 370.25, 510.94 and 204.46

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Solution

The fourth proportional to 370.25, 510.94 and 204.46 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.25 : 510.94 = 204.46 : x
  2. Step 2: Convert to fraction form
    370.25/510.94 = 204.46/x
  3. Step 3: Cross multiply
    370.25x = 510.94 × 204.46
  4. Step 4: Simplify right side
    370.25x = 104,464.24
  5. Step 5: Solve for x
    x = 104,464.24/370.25
  6. Step 6: Final answer
    x = 282.15

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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.