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Finding the Fourth Proportional to 611.22, 916.84 and 178.42

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Solution

The fourth proportional to 611.22, 916.84 and 178.42 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 916.84 = 178.42 : x
  2. Step 2: Convert to fraction form
    611.22/916.84 = 178.42/x
  3. Step 3: Cross multiply
    611.22x = 916.84 × 178.42
  4. Step 4: Simplify right side
    611.22x = 163,582.59
  5. Step 5: Solve for x
    x = 163,582.59/611.22
  6. Step 6: Final answer
    x = 267.63

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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.