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Finding the Fourth Proportional to 298.01, 411.46 and 186.02

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Solution

The fourth proportional to 298.01, 411.46 and 186.02 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.01 : 411.46 = 186.02 : x
  2. Step 2: Convert to fraction form
    298.01/411.46 = 186.02/x
  3. Step 3: Cross multiply
    298.01x = 411.46 × 186.02
  4. Step 4: Simplify right side
    298.01x = 76,541.33
  5. Step 5: Solve for x
    x = 76,541.33/298.01
  6. Step 6: Final answer
    x = 256.84

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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.