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Finding the Fourth Proportional to 169, 232.72 and 168.49

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Solution

The fourth proportional to 169, 232.72 and 168.49 is: 232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169 : 232.72 = 168.49 : x
  2. Step 2: Convert to fraction form
    169/232.72 = 168.49/x
  3. Step 3: Cross multiply
    169x = 232.72 × 168.49
  4. Step 4: Simplify right side
    169x = 39,210.99
  5. Step 5: Solve for x
    x = 39,210.99/169
  6. Step 6: Final answer
    x = 232.02

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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.