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Finding the Fourth Proportional to 611.17, 916.27 and 200.05

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Solution

The fourth proportional to 611.17, 916.27 and 200.05 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.17 : 916.27 = 200.05 : x
  2. Step 2: Convert to fraction form
    611.17/916.27 = 200.05/x
  3. Step 3: Cross multiply
    611.17x = 916.27 × 200.05
  4. Step 4: Simplify right side
    611.17x = 183,297.02
  5. Step 5: Solve for x
    x = 183,297.02/611.17
  6. Step 6: Final answer
    x = 299.91

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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.