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Finding the Fourth Proportional to 370.80, 556.25 and 165.60

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Solution

The fourth proportional to 370.80, 556.25 and 165.60 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.80 : 556.25 = 165.60 : x
  2. Step 2: Convert to fraction form
    370.80/556.25 = 165.60/x
  3. Step 3: Cross multiply
    370.80x = 556.25 × 165.60
  4. Step 4: Simplify right side
    370.80x = 92,114.17
  5. Step 5: Solve for x
    x = 92,114.17/370.80
  6. Step 6: Final answer
    x = 248.42

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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.