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Finding the Fourth Proportional to 370.93, 556.45 and 165.49

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Solution

The fourth proportional to 370.93, 556.45 and 165.49 is: 248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.93 : 556.45 = 165.49 : x
  2. Step 2: Convert to fraction form
    370.93/556.45 = 165.49/x
  3. Step 3: Cross multiply
    370.93x = 556.45 × 165.49
  4. Step 4: Simplify right side
    370.93x = 92,084.13
  5. Step 5: Solve for x
    x = 92,084.13/370.93
  6. Step 6: Final answer
    x = 248.26

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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.