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Finding the Fourth Proportional to 562.77, 843.62 and 177.75

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Solution

The fourth proportional to 562.77, 843.62 and 177.75 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.77 : 843.62 = 177.75 : x
  2. Step 2: Convert to fraction form
    562.77/843.62 = 177.75/x
  3. Step 3: Cross multiply
    562.77x = 843.62 × 177.75
  4. Step 4: Simplify right side
    562.77x = 149,952.57
  5. Step 5: Solve for x
    x = 149,952.57/562.77
  6. Step 6: Final answer
    x = 266.45

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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.