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Finding the Fourth Proportional to 300.53, 450.68 and 105.47

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Solution

The fourth proportional to 300.53, 450.68 and 105.47 is: 158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.53 : 450.68 = 105.47 : x
  2. Step 2: Convert to fraction form
    300.53/450.68 = 105.47/x
  3. Step 3: Cross multiply
    300.53x = 450.68 × 105.47
  4. Step 4: Simplify right side
    300.53x = 47,533.22
  5. Step 5: Solve for x
    x = 47,533.22/300.53
  6. Step 6: Final answer
    x = 158.16

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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.