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Finding the Fourth Proportional to 237.79, 356.23 and 134.77

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Solution

The fourth proportional to 237.79, 356.23 and 134.77 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.79 : 356.23 = 134.77 : x
  2. Step 2: Convert to fraction form
    237.79/356.23 = 134.77/x
  3. Step 3: Cross multiply
    237.79x = 356.23 × 134.77
  4. Step 4: Simplify right side
    237.79x = 48,009.12
  5. Step 5: Solve for x
    x = 48,009.12/237.79
  6. Step 6: Final answer
    x = 201.90

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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.