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Finding the Fourth Proportional to 336.75, 465.07 and 232.11

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Solution

The fourth proportional to 336.75, 465.07 and 232.11 is: 320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.75 : 465.07 = 232.11 : x
  2. Step 2: Convert to fraction form
    336.75/465.07 = 232.11/x
  3. Step 3: Cross multiply
    336.75x = 465.07 × 232.11
  4. Step 4: Simplify right side
    336.75x = 107,946.82
  5. Step 5: Solve for x
    x = 107,946.82/336.75
  6. Step 6: Final answer
    x = 320.55

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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.