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Finding the Fourth Proportional to 427.37, 640.51 and 153.15

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Solution

The fourth proportional to 427.37, 640.51 and 153.15 is: 229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.37 : 640.51 = 153.15 : x
  2. Step 2: Convert to fraction form
    427.37/640.51 = 153.15/x
  3. Step 3: Cross multiply
    427.37x = 640.51 × 153.15
  4. Step 4: Simplify right side
    427.37x = 98,096.70
  5. Step 5: Solve for x
    x = 98,096.70/427.37
  6. Step 6: Final answer
    x = 229.54

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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.