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Finding the Fourth Proportional to 298.63, 412.12 and 182.13

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Solution

The fourth proportional to 298.63, 412.12 and 182.13 is: 251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.63 : 412.12 = 182.13 : x
  2. Step 2: Convert to fraction form
    298.63/412.12 = 182.13/x
  3. Step 3: Cross multiply
    298.63x = 412.12 × 182.13
  4. Step 4: Simplify right side
    298.63x = 75,059.42
  5. Step 5: Solve for x
    x = 75,059.42/298.63
  6. Step 6: Final answer
    x = 251.35

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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.