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Finding the Fourth Proportional to 237.62, 356.61 and 164.45

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Solution

The fourth proportional to 237.62, 356.61 and 164.45 is: 246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.62 : 356.61 = 164.45 : x
  2. Step 2: Convert to fraction form
    237.62/356.61 = 164.45/x
  3. Step 3: Cross multiply
    237.62x = 356.61 × 164.45
  4. Step 4: Simplify right side
    237.62x = 58,644.51
  5. Step 5: Solve for x
    x = 58,644.51/237.62
  6. Step 6: Final answer
    x = 246.80

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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.