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Finding the Fourth Proportional to 237.03, 355.81 and 165.21

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Solution

The fourth proportional to 237.03, 355.81 and 165.21 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.03 : 355.81 = 165.21 : x
  2. Step 2: Convert to fraction form
    237.03/355.81 = 165.21/x
  3. Step 3: Cross multiply
    237.03x = 355.81 × 165.21
  4. Step 4: Simplify right side
    237.03x = 58,783.37
  5. Step 5: Solve for x
    x = 58,783.37/237.03
  6. Step 6: Final answer
    x = 248.00

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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.