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Finding the Fourth Proportional to 370.93, 556.41 and 165.46

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Solution

The fourth proportional to 370.93, 556.41 and 165.46 is: 248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.93 : 556.41 = 165.46 : x
  2. Step 2: Convert to fraction form
    370.93/556.41 = 165.46/x
  3. Step 3: Cross multiply
    370.93x = 556.41 × 165.46
  4. Step 4: Simplify right side
    370.93x = 92,063.60
  5. Step 5: Solve for x
    x = 92,063.60/370.93
  6. Step 6: Final answer
    x = 248.20

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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.