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Finding the Fourth Proportional to 299.96, 450.94 and 242.58

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Solution

The fourth proportional to 299.96, 450.94 and 242.58 is: 364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 450.94 = 242.58 : x
  2. Step 2: Convert to fraction form
    299.96/450.94 = 242.58/x
  3. Step 3: Cross multiply
    299.96x = 450.94 × 242.58
  4. Step 4: Simplify right side
    299.96x = 109,389.03
  5. Step 5: Solve for x
    x = 109,389.03/299.96
  6. Step 6: Final answer
    x = 364.68

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Why These Related Problems?

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