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Finding the Fourth Proportional to 300.28, 450.65 and 117.72

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Solution

The fourth proportional to 300.28, 450.65 and 117.72 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 450.65 = 117.72 : x
  2. Step 2: Convert to fraction form
    300.28/450.65 = 117.72/x
  3. Step 3: Cross multiply
    300.28x = 450.65 × 117.72
  4. Step 4: Simplify right side
    300.28x = 53,050.52
  5. Step 5: Solve for x
    x = 53,050.52/300.28
  6. Step 6: Final answer
    x = 176.67

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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.