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Finding the Fourth Proportional to 280.69, 420.74 and 107.30

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Solution

The fourth proportional to 280.69, 420.74 and 107.30 is: 160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.69 : 420.74 = 107.30 : x
  2. Step 2: Convert to fraction form
    280.69/420.74 = 107.30/x
  3. Step 3: Cross multiply
    280.69x = 420.74 × 107.30
  4. Step 4: Simplify right side
    280.69x = 45,146.32
  5. Step 5: Solve for x
    x = 45,146.32/280.69
  6. Step 6: Final answer
    x = 160.84

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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.