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Finding the Fourth Proportional to 611.37, 916.49 and 200.30

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Solution

The fourth proportional to 611.37, 916.49 and 200.30 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.37 : 916.49 = 200.30 : x
  2. Step 2: Convert to fraction form
    611.37/916.49 = 200.30/x
  3. Step 3: Cross multiply
    611.37x = 916.49 × 200.30
  4. Step 4: Simplify right side
    611.37x = 183,572.95
  5. Step 5: Solve for x
    x = 183,572.95/611.37
  6. Step 6: Final answer
    x = 300.26

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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.