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Finding the Fourth Proportional to 370.46, 555.32 and 165.08

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Solution

The fourth proportional to 370.46, 555.32 and 165.08 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.46 : 555.32 = 165.08 : x
  2. Step 2: Convert to fraction form
    370.46/555.32 = 165.08/x
  3. Step 3: Cross multiply
    370.46x = 555.32 × 165.08
  4. Step 4: Simplify right side
    370.46x = 91,672.23
  5. Step 5: Solve for x
    x = 91,672.23/370.46
  6. Step 6: Final answer
    x = 247.46

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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.