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Finding the Fourth Proportional to 279.84, 419.69 and 142.83

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Solution

The fourth proportional to 279.84, 419.69 and 142.83 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 419.69 = 142.83 : x
  2. Step 2: Convert to fraction form
    279.84/419.69 = 142.83/x
  3. Step 3: Cross multiply
    279.84x = 419.69 × 142.83
  4. Step 4: Simplify right side
    279.84x = 59,944.32
  5. Step 5: Solve for x
    x = 59,944.32/279.84
  6. Step 6: Final answer
    x = 214.21

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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.