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Finding the Fourth Proportional to 298.35, 411.60 and 180.27

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Solution

The fourth proportional to 298.35, 411.60 and 180.27 is: 248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.35 : 411.60 = 180.27 : x
  2. Step 2: Convert to fraction form
    298.35/411.60 = 180.27/x
  3. Step 3: Cross multiply
    298.35x = 411.60 × 180.27
  4. Step 4: Simplify right side
    298.35x = 74,199.13
  5. Step 5: Solve for x
    x = 74,199.13/298.35
  6. Step 6: Final answer
    x = 248.70

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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.