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Finding the Fourth Proportional to 280.04, 419.34 and 193.64

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Solution

The fourth proportional to 280.04, 419.34 and 193.64 is: 289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.04 : 419.34 = 193.64 : x
  2. Step 2: Convert to fraction form
    280.04/419.34 = 193.64/x
  3. Step 3: Cross multiply
    280.04x = 419.34 × 193.64
  4. Step 4: Simplify right side
    280.04x = 81,201.00
  5. Step 5: Solve for x
    x = 81,201.00/280.04
  6. Step 6: Final answer
    x = 289.96

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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.