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Finding the Fourth Proportional to 298.09, 446.82 and 153.51

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Solution

The fourth proportional to 298.09, 446.82 and 153.51 is: 230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 446.82 = 153.51 : x
  2. Step 2: Convert to fraction form
    298.09/446.82 = 153.51/x
  3. Step 3: Cross multiply
    298.09x = 446.82 × 153.51
  4. Step 4: Simplify right side
    298.09x = 68,591.34
  5. Step 5: Solve for x
    x = 68,591.34/298.09
  6. Step 6: Final answer
    x = 230.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.