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Finding the Fourth Proportional to 300.28, 414.59 and 188.42

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Solution

The fourth proportional to 300.28, 414.59 and 188.42 is: 260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 414.59 = 188.42 : x
  2. Step 2: Convert to fraction form
    300.28/414.59 = 188.42/x
  3. Step 3: Cross multiply
    300.28x = 414.59 × 188.42
  4. Step 4: Simplify right side
    300.28x = 78,114.03
  5. Step 5: Solve for x
    x = 78,114.03/300.28
  6. Step 6: Final answer
    x = 260.14

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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.