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Finding the Fourth Proportional to 577.54, 866.46 and 166.72

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Solution

The fourth proportional to 577.54, 866.46 and 166.72 is: 250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.54 : 866.46 = 166.72 : x
  2. Step 2: Convert to fraction form
    577.54/866.46 = 166.72/x
  3. Step 3: Cross multiply
    577.54x = 866.46 × 166.72
  4. Step 4: Simplify right side
    577.54x = 144,456.21
  5. Step 5: Solve for x
    x = 144,456.21/577.54
  6. Step 6: Final answer
    x = 250.12

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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.