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Finding the Fourth Proportional to 370.31, 555.66 and 165.11

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Solution

The fourth proportional to 370.31, 555.66 and 165.11 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.31 : 555.66 = 165.11 : x
  2. Step 2: Convert to fraction form
    370.31/555.66 = 165.11/x
  3. Step 3: Cross multiply
    370.31x = 555.66 × 165.11
  4. Step 4: Simplify right side
    370.31x = 91,742.24
  5. Step 5: Solve for x
    x = 91,742.24/370.31
  6. Step 6: Final answer
    x = 247.75

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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.