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Finding the Fourth Proportional to 280.05, 420.04 and 125.99

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Solution

The fourth proportional to 280.05, 420.04 and 125.99 is: 188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.05 : 420.04 = 125.99 : x
  2. Step 2: Convert to fraction form
    280.05/420.04 = 125.99/x
  3. Step 3: Cross multiply
    280.05x = 420.04 × 125.99
  4. Step 4: Simplify right side
    280.05x = 52,920.84
  5. Step 5: Solve for x
    x = 52,920.84/280.05
  6. Step 6: Final answer
    x = 188.97

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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.