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Finding the Fourth Proportional to 300.21, 414.16 and 230.14

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Solution

The fourth proportional to 300.21, 414.16 and 230.14 is: 317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.21 : 414.16 = 230.14 : x
  2. Step 2: Convert to fraction form
    300.21/414.16 = 230.14/x
  3. Step 3: Cross multiply
    300.21x = 414.16 × 230.14
  4. Step 4: Simplify right side
    300.21x = 95,316.02
  5. Step 5: Solve for x
    x = 95,316.02/300.21
  6. Step 6: Final answer
    x = 317.50

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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.