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Finding the Fourth Proportional to 280.07, 419.83 and 142.81

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Solution

The fourth proportional to 280.07, 419.83 and 142.81 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.07 : 419.83 = 142.81 : x
  2. Step 2: Convert to fraction form
    280.07/419.83 = 142.81/x
  3. Step 3: Cross multiply
    280.07x = 419.83 × 142.81
  4. Step 4: Simplify right side
    280.07x = 59,957.68
  5. Step 5: Solve for x
    x = 59,957.68/280.07
  6. Step 6: Final answer
    x = 214.08

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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.