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Finding the Fourth Proportional to 370.96, 556.38 and 165.20

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Solution

The fourth proportional to 370.96, 556.38 and 165.20 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.96 : 556.38 = 165.20 : x
  2. Step 2: Convert to fraction form
    370.96/556.38 = 165.20/x
  3. Step 3: Cross multiply
    370.96x = 556.38 × 165.20
  4. Step 4: Simplify right side
    370.96x = 91,913.98
  5. Step 5: Solve for x
    x = 91,913.98/370.96
  6. Step 6: Final answer
    x = 247.77

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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.