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Finding the Fourth Proportional to 611.36, 916.82 and 200.40

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Solution

The fourth proportional to 611.36, 916.82 and 200.40 is: 300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.36 : 916.82 = 200.40 : x
  2. Step 2: Convert to fraction form
    611.36/916.82 = 200.40/x
  3. Step 3: Cross multiply
    611.36x = 916.82 × 200.40
  4. Step 4: Simplify right side
    611.36x = 183,730.73
  5. Step 5: Solve for x
    x = 183,730.73/611.36
  6. Step 6: Final answer
    x = 300.53

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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.