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Finding the Fourth Proportional to 562.25, 843.51 and 177.50

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Solution

The fourth proportional to 562.25, 843.51 and 177.50 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.25 : 843.51 = 177.50 : x
  2. Step 2: Convert to fraction form
    562.25/843.51 = 177.50/x
  3. Step 3: Cross multiply
    562.25x = 843.51 × 177.50
  4. Step 4: Simplify right side
    562.25x = 149,723.03
  5. Step 5: Solve for x
    x = 149,723.03/562.25
  6. Step 6: Final answer
    x = 266.29

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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.