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Finding the Fourth Proportional to 577.63, 866.45 and 166.77

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Solution

The fourth proportional to 577.63, 866.45 and 166.77 is: 250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.63 : 866.45 = 166.77 : x
  2. Step 2: Convert to fraction form
    577.63/866.45 = 166.77/x
  3. Step 3: Cross multiply
    577.63x = 866.45 × 166.77
  4. Step 4: Simplify right side
    577.63x = 144,493.78
  5. Step 5: Solve for x
    x = 144,493.78/577.63
  6. Step 6: Final answer
    x = 250.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.