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Finding the Fourth Proportional to 611.31, 916.95 and 149.09

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Solution

The fourth proportional to 611.31, 916.95 and 149.09 is: 223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.31 : 916.95 = 149.09 : x
  2. Step 2: Convert to fraction form
    611.31/916.95 = 149.09/x
  3. Step 3: Cross multiply
    611.31x = 916.95 × 149.09
  4. Step 4: Simplify right side
    611.31x = 136,703.49
  5. Step 5: Solve for x
    x = 136,703.49/611.31
  6. Step 6: Final answer
    x = 223.63

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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.