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Finding the Fourth Proportional to 172.65, 237.83 and 133.77

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Solution

The fourth proportional to 172.65, 237.83 and 133.77 is: 184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.65 : 237.83 = 133.77 : x
  2. Step 2: Convert to fraction form
    172.65/237.83 = 133.77/x
  3. Step 3: Cross multiply
    172.65x = 237.83 × 133.77
  4. Step 4: Simplify right side
    172.65x = 31,813.85
  5. Step 5: Solve for x
    x = 31,813.85/172.65
  6. Step 6: Final answer
    x = 184.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.