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Finding the Fourth Proportional to 298.41, 411.75 and 211.16

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Solution

The fourth proportional to 298.41, 411.75 and 211.16 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.41 : 411.75 = 211.16 : x
  2. Step 2: Convert to fraction form
    298.41/411.75 = 211.16/x
  3. Step 3: Cross multiply
    298.41x = 411.75 × 211.16
  4. Step 4: Simplify right side
    298.41x = 86,943.07
  5. Step 5: Solve for x
    x = 86,943.07/298.41
  6. Step 6: Final answer
    x = 291.35

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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.