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Finding the Fourth Proportional to 611.15, 916.07 and 200.17

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Solution

The fourth proportional to 611.15, 916.07 and 200.17 is: 300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.15 : 916.07 = 200.17 : x
  2. Step 2: Convert to fraction form
    611.15/916.07 = 200.17/x
  3. Step 3: Cross multiply
    611.15x = 916.07 × 200.17
  4. Step 4: Simplify right side
    611.15x = 183,369.73
  5. Step 5: Solve for x
    x = 183,369.73/611.15
  6. Step 6: Final answer
    x = 300.04

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