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Finding the Fourth Proportional to 237.77, 356 and 179.81

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Solution

The fourth proportional to 237.77, 356 and 179.81 is: 269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.77 : 356 = 179.81 : x
  2. Step 2: Convert to fraction form
    237.77/356 = 179.81/x
  3. Step 3: Cross multiply
    237.77x = 356 × 179.81
  4. Step 4: Simplify right side
    237.77x = 64,012.36
  5. Step 5: Solve for x
    x = 64,012.36/237.77
  6. Step 6: Final answer
    x = 269.22

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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.