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Finding the Fourth Proportional to 152.91, 229.34 and 44.67

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Solution

The fourth proportional to 152.91, 229.34 and 44.67 is: 67.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.91 : 229.34 = 44.67 : x
  2. Step 2: Convert to fraction form
    152.91/229.34 = 44.67/x
  3. Step 3: Cross multiply
    152.91x = 229.34 × 44.67
  4. Step 4: Simplify right side
    152.91x = 10,244.97
  5. Step 5: Solve for x
    x = 10,244.97/152.91
  6. Step 6: Final answer
    x = 67.00

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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.