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Finding the Fourth Proportional to 300.54, 414.59 and 202.35

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Solution

The fourth proportional to 300.54, 414.59 and 202.35 is: 279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.54 : 414.59 = 202.35 : x
  2. Step 2: Convert to fraction form
    300.54/414.59 = 202.35/x
  3. Step 3: Cross multiply
    300.54x = 414.59 × 202.35
  4. Step 4: Simplify right side
    300.54x = 83,891.27
  5. Step 5: Solve for x
    x = 83,891.27/300.54
  6. Step 6: Final answer
    x = 279.14

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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.