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Finding the Fourth Proportional to 237.60, 355.78 and 164.70

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Solution

The fourth proportional to 237.60, 355.78 and 164.70 is: 246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 355.78 = 164.70 : x
  2. Step 2: Convert to fraction form
    237.60/355.78 = 164.70/x
  3. Step 3: Cross multiply
    237.60x = 355.78 × 164.70
  4. Step 4: Simplify right side
    237.60x = 58,596.97
  5. Step 5: Solve for x
    x = 58,596.97/237.60
  6. Step 6: Final answer
    x = 246.62

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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.