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Finding the Fourth Proportional to 370.68, 556.20 and 165.22

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Solution

The fourth proportional to 370.68, 556.20 and 165.22 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.68 : 556.20 = 165.22 : x
  2. Step 2: Convert to fraction form
    370.68/556.20 = 165.22/x
  3. Step 3: Cross multiply
    370.68x = 556.20 × 165.22
  4. Step 4: Simplify right side
    370.68x = 91,895.36
  5. Step 5: Solve for x
    x = 91,895.36/370.68
  6. Step 6: Final answer
    x = 247.91

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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.