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Finding the Fourth Proportional to 557.09, 835.67 and 146.24

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Solution

The fourth proportional to 557.09, 835.67 and 146.24 is: 219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.09 : 835.67 = 146.24 : x
  2. Step 2: Convert to fraction form
    557.09/835.67 = 146.24/x
  3. Step 3: Cross multiply
    557.09x = 835.67 × 146.24
  4. Step 4: Simplify right side
    557.09x = 122,207.65
  5. Step 5: Solve for x
    x = 122,207.65/557.09
  6. Step 6: Final answer
    x = 219.37

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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.