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Finding the Fourth Proportional to 577.99, 866.96 and 167.12

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Solution

The fourth proportional to 577.99, 866.96 and 167.12 is: 250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.99 : 866.96 = 167.12 : x
  2. Step 2: Convert to fraction form
    577.99/866.96 = 167.12/x
  3. Step 3: Cross multiply
    577.99x = 866.96 × 167.12
  4. Step 4: Simplify right side
    577.99x = 144,885.06
  5. Step 5: Solve for x
    x = 144,885.06/577.99
  6. Step 6: Final answer
    x = 250.67

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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.