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Finding the Fourth Proportional to 428.30, 642.50 and 139.67

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Solution

The fourth proportional to 428.30, 642.50 and 139.67 is: 209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.30 : 642.50 = 139.67 : x
  2. Step 2: Convert to fraction form
    428.30/642.50 = 139.67/x
  3. Step 3: Cross multiply
    428.30x = 642.50 × 139.67
  4. Step 4: Simplify right side
    428.30x = 89,737.28
  5. Step 5: Solve for x
    x = 89,737.28/428.30
  6. Step 6: Final answer
    x = 209.52

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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.