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Finding the Fourth Proportional to 611.05, 916.23 and 194.51

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Solution

The fourth proportional to 611.05, 916.23 and 194.51 is: 291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.05 : 916.23 = 194.51 : x
  2. Step 2: Convert to fraction form
    611.05/916.23 = 194.51/x
  3. Step 3: Cross multiply
    611.05x = 916.23 × 194.51
  4. Step 4: Simplify right side
    611.05x = 178,215.90
  5. Step 5: Solve for x
    x = 178,215.90/611.05
  6. Step 6: Final answer
    x = 291.66

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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.