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Finding the Fourth Proportional to 428.12, 642.02 and 154.14

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Solution

The fourth proportional to 428.12, 642.02 and 154.14 is: 231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 642.02 = 154.14 : x
  2. Step 2: Convert to fraction form
    428.12/642.02 = 154.14/x
  3. Step 3: Cross multiply
    428.12x = 642.02 × 154.14
  4. Step 4: Simplify right side
    428.12x = 98,958.70
  5. Step 5: Solve for x
    x = 98,958.70/428.12
  6. Step 6: Final answer
    x = 231.15

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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.