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Finding the Fourth Proportional to 300.95, 416.01 and 214.37

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Solution

The fourth proportional to 300.95, 416.01 and 214.37 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.95 : 416.01 = 214.37 : x
  2. Step 2: Convert to fraction form
    300.95/416.01 = 214.37/x
  3. Step 3: Cross multiply
    300.95x = 416.01 × 214.37
  4. Step 4: Simplify right side
    300.95x = 89,176.91
  5. Step 5: Solve for x
    x = 89,176.91/300.95
  6. Step 6: Final answer
    x = 296.32

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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.