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Finding the Fourth Proportional to 428.24, 642.32 and 168.10

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Solution

The fourth proportional to 428.24, 642.32 and 168.10 is: 252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.24 : 642.32 = 168.10 : x
  2. Step 2: Convert to fraction form
    428.24/642.32 = 168.10/x
  3. Step 3: Cross multiply
    428.24x = 642.32 × 168.10
  4. Step 4: Simplify right side
    428.24x = 107,973.99
  5. Step 5: Solve for x
    x = 107,973.99/428.24
  6. Step 6: Final answer
    x = 252.13

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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.