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Finding the Fourth Proportional to 428.19, 642.29 and 139.64

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Solution

The fourth proportional to 428.19, 642.29 and 139.64 is: 209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.19 : 642.29 = 139.64 : x
  2. Step 2: Convert to fraction form
    428.19/642.29 = 139.64/x
  3. Step 3: Cross multiply
    428.19x = 642.29 × 139.64
  4. Step 4: Simplify right side
    428.19x = 89,685.47
  5. Step 5: Solve for x
    x = 89,685.47/428.19
  6. Step 6: Final answer
    x = 209.45

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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.