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Finding the Fourth Proportional to 582.82, 874.16 and 149.96

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Solution

The fourth proportional to 582.82, 874.16 and 149.96 is: 224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.82 : 874.16 = 149.96 : x
  2. Step 2: Convert to fraction form
    582.82/874.16 = 149.96/x
  3. Step 3: Cross multiply
    582.82x = 874.16 × 149.96
  4. Step 4: Simplify right side
    582.82x = 131,089.03
  5. Step 5: Solve for x
    x = 131,089.03/582.82
  6. Step 6: Final answer
    x = 224.92

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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.