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Finding the Fourth Proportional to 370.17, 510.82 and 204.36

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Solution

The fourth proportional to 370.17, 510.82 and 204.36 is: 282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.17 : 510.82 = 204.36 : x
  2. Step 2: Convert to fraction form
    370.17/510.82 = 204.36/x
  3. Step 3: Cross multiply
    370.17x = 510.82 × 204.36
  4. Step 4: Simplify right side
    370.17x = 104,388.75
  5. Step 5: Solve for x
    x = 104,388.75/370.17
  6. Step 6: Final answer
    x = 282.00

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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.