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Finding the Fourth Proportional to 577.85, 866.61 and 166.88

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Solution

The fourth proportional to 577.85, 866.61 and 166.88 is: 250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.85 : 866.61 = 166.88 : x
  2. Step 2: Convert to fraction form
    577.85/866.61 = 166.88/x
  3. Step 3: Cross multiply
    577.85x = 866.61 × 166.88
  4. Step 4: Simplify right side
    577.85x = 144,619.88
  5. Step 5: Solve for x
    x = 144,619.88/577.85
  6. Step 6: Final answer
    x = 250.27

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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.