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Finding the Fourth Proportional to 371.79, 557.84 and 166.40

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Solution

The fourth proportional to 371.79, 557.84 and 166.40 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.79 : 557.84 = 166.40 : x
  2. Step 2: Convert to fraction form
    371.79/557.84 = 166.40/x
  3. Step 3: Cross multiply
    371.79x = 557.84 × 166.40
  4. Step 4: Simplify right side
    371.79x = 92,826.50
  5. Step 5: Solve for x
    x = 92,826.50/371.79
  6. Step 6: Final answer
    x = 249.67

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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.