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Finding the Fourth Proportional to 298.69, 448.18 and 136.41

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Solution

The fourth proportional to 298.69, 448.18 and 136.41 is: 204.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 448.18 = 136.41 : x
  2. Step 2: Convert to fraction form
    298.69/448.18 = 136.41/x
  3. Step 3: Cross multiply
    298.69x = 448.18 × 136.41
  4. Step 4: Simplify right side
    298.69x = 61,136.24
  5. Step 5: Solve for x
    x = 61,136.24/298.69
  6. Step 6: Final answer
    x = 204.68

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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.