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Finding the Fourth Proportional to 370.64, 556.20 and 165.34

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Solution

The fourth proportional to 370.64, 556.20 and 165.34 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.64 : 556.20 = 165.34 : x
  2. Step 2: Convert to fraction form
    370.64/556.20 = 165.34/x
  3. Step 3: Cross multiply
    370.64x = 556.20 × 165.34
  4. Step 4: Simplify right side
    370.64x = 91,962.80
  5. Step 5: Solve for x
    x = 91,962.80/370.64
  6. Step 6: Final answer
    x = 248.12

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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.