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Finding the Fourth Proportional to 236.87, 355.27 and 176.09

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Solution

The fourth proportional to 236.87, 355.27 and 176.09 is: 264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.87 : 355.27 = 176.09 : x
  2. Step 2: Convert to fraction form
    236.87/355.27 = 176.09/x
  3. Step 3: Cross multiply
    236.87x = 355.27 × 176.09
  4. Step 4: Simplify right side
    236.87x = 62,557.28
  5. Step 5: Solve for x
    x = 62,557.28/236.87
  6. Step 6: Final answer
    x = 264.11

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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.