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Finding the Fourth Proportional to 314.75, 434.16 and 216.33

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Solution

The fourth proportional to 314.75, 434.16 and 216.33 is: 298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 434.16 = 216.33 : x
  2. Step 2: Convert to fraction form
    314.75/434.16 = 216.33/x
  3. Step 3: Cross multiply
    314.75x = 434.16 × 216.33
  4. Step 4: Simplify right side
    314.75x = 93,922.85
  5. Step 5: Solve for x
    x = 93,922.85/314.75
  6. Step 6: Final answer
    x = 298.41

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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.