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Finding the Fourth Proportional to 298.29, 411.51 and 186.19

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Solution

The fourth proportional to 298.29, 411.51 and 186.19 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.29 : 411.51 = 186.19 : x
  2. Step 2: Convert to fraction form
    298.29/411.51 = 186.19/x
  3. Step 3: Cross multiply
    298.29x = 411.51 × 186.19
  4. Step 4: Simplify right side
    298.29x = 76,618.72
  5. Step 5: Solve for x
    x = 76,618.72/298.29
  6. Step 6: Final answer
    x = 256.86

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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.