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Finding the Fourth Proportional to 298.62, 411.75 and 182.07

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Solution

The fourth proportional to 298.62, 411.75 and 182.07 is: 251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.62 : 411.75 = 182.07 : x
  2. Step 2: Convert to fraction form
    298.62/411.75 = 182.07/x
  3. Step 3: Cross multiply
    298.62x = 411.75 × 182.07
  4. Step 4: Simplify right side
    298.62x = 74,967.32
  5. Step 5: Solve for x
    x = 74,967.32/298.62
  6. Step 6: Final answer
    x = 251.05

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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.