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Finding the Fourth Proportional to 370.49, 555.82 and 165.07

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Solution

The fourth proportional to 370.49, 555.82 and 165.07 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.49 : 555.82 = 165.07 : x
  2. Step 2: Convert to fraction form
    370.49/555.82 = 165.07/x
  3. Step 3: Cross multiply
    370.49x = 555.82 × 165.07
  4. Step 4: Simplify right side
    370.49x = 91,749.49
  5. Step 5: Solve for x
    x = 91,749.49/370.49
  6. Step 6: Final answer
    x = 247.65

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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.