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Finding the Fourth Proportional to 565.22, 847.84 and 154.36

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Solution

The fourth proportional to 565.22, 847.84 and 154.36 is: 231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.22 : 847.84 = 154.36 : x
  2. Step 2: Convert to fraction form
    565.22/847.84 = 154.36/x
  3. Step 3: Cross multiply
    565.22x = 847.84 × 154.36
  4. Step 4: Simplify right side
    565.22x = 130,872.58
  5. Step 5: Solve for x
    x = 130,872.58/565.22
  6. Step 6: Final answer
    x = 231.54

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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.