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Finding the Fourth Proportional to 237.76, 356.76 and 201.60

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Solution

The fourth proportional to 237.76, 356.76 and 201.60 is: 302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.76 : 356.76 = 201.60 : x
  2. Step 2: Convert to fraction form
    237.76/356.76 = 201.60/x
  3. Step 3: Cross multiply
    237.76x = 356.76 × 201.60
  4. Step 4: Simplify right side
    237.76x = 71,922.82
  5. Step 5: Solve for x
    x = 71,922.82/237.76
  6. Step 6: Final answer
    x = 302.50

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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.