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Finding the Fourth Proportional to 614.75, 922.29 and 204.00

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Solution

The fourth proportional to 614.75, 922.29 and 204.00 is: 306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 922.29 = 204.00 : x
  2. Step 2: Convert to fraction form
    614.75/922.29 = 204.00/x
  3. Step 3: Cross multiply
    614.75x = 922.29 × 204.00
  4. Step 4: Simplify right side
    614.75x = 188,151.10
  5. Step 5: Solve for x
    x = 188,151.10/614.75
  6. Step 6: Final answer
    x = 306.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.