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Finding the Fourth Proportional to 300.21, 450 and 117.56

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Solution

The fourth proportional to 300.21, 450 and 117.56 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.21 : 450 = 117.56 : x
  2. Step 2: Convert to fraction form
    300.21/450 = 117.56/x
  3. Step 3: Cross multiply
    300.21x = 450 × 117.56
  4. Step 4: Simplify right side
    300.21x = 52,899.75
  5. Step 5: Solve for x
    x = 52,899.75/300.21
  6. Step 6: Final answer
    x = 176.21

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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.