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Finding the Fourth Proportional to 370.92, 556.64 and 165.48

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Solution

The fourth proportional to 370.92, 556.64 and 165.48 is: 248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.92 : 556.64 = 165.48 : x
  2. Step 2: Convert to fraction form
    370.92/556.64 = 165.48/x
  3. Step 3: Cross multiply
    370.92x = 556.64 × 165.48
  4. Step 4: Simplify right side
    370.92x = 92,112.79
  5. Step 5: Solve for x
    x = 92,112.79/370.92
  6. Step 6: Final answer
    x = 248.34

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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.