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Finding the Fourth Proportional to 577.64, 866.44 and 166.76

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Solution

The fourth proportional to 577.64, 866.44 and 166.76 is: 250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.64 : 866.44 = 166.76 : x
  2. Step 2: Convert to fraction form
    577.64/866.44 = 166.76/x
  3. Step 3: Cross multiply
    577.64x = 866.44 × 166.76
  4. Step 4: Simplify right side
    577.64x = 144,487.53
  5. Step 5: Solve for x
    x = 144,487.53/577.64
  6. Step 6: Final answer
    x = 250.13

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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.