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Finding the Fourth Proportional to 298.49, 411.83 and 180.47

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Solution

The fourth proportional to 298.49, 411.83 and 180.47 is: 248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 411.83 = 180.47 : x
  2. Step 2: Convert to fraction form
    298.49/411.83 = 180.47/x
  3. Step 3: Cross multiply
    298.49x = 411.83 × 180.47
  4. Step 4: Simplify right side
    298.49x = 74,320.00
  5. Step 5: Solve for x
    x = 74,320.00/298.49
  6. Step 6: Final answer
    x = 248.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.