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Finding the Fourth Proportional to 298.10, 411.40 and 180.13

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Solution

The fourth proportional to 298.10, 411.40 and 180.13 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.10 : 411.40 = 180.13 : x
  2. Step 2: Convert to fraction form
    298.10/411.40 = 180.13/x
  3. Step 3: Cross multiply
    298.10x = 411.40 × 180.13
  4. Step 4: Simplify right side
    298.10x = 74,104.00
  5. Step 5: Solve for x
    x = 74,104.00/298.10
  6. Step 6: Final answer
    x = 248.59

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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.