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Finding the Fourth Proportional to 577.63, 866.31 and 166.69

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Solution

The fourth proportional to 577.63, 866.31 and 166.69 is: 250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.63 : 866.31 = 166.69 : x
  2. Step 2: Convert to fraction form
    577.63/866.31 = 166.69/x
  3. Step 3: Cross multiply
    577.63x = 866.31 × 166.69
  4. Step 4: Simplify right side
    577.63x = 144,405.21
  5. Step 5: Solve for x
    x = 144,405.21/577.63
  6. Step 6: Final answer
    x = 250.00

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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.