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Finding the Fourth Proportional to 238.12, 328.26 and 169

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Solution

The fourth proportional to 238.12, 328.26 and 169 is: 232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 328.26 = 169 : x
  2. Step 2: Convert to fraction form
    238.12/328.26 = 169/x
  3. Step 3: Cross multiply
    238.12x = 328.26 × 169
  4. Step 4: Simplify right side
    238.12x = 55,475.94
  5. Step 5: Solve for x
    x = 55,475.94/238.12
  6. Step 6: Final answer
    x = 232.97

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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.