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Finding the Fourth Proportional to 279.64, 419.58 and 142.84

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Solution

The fourth proportional to 279.64, 419.58 and 142.84 is: 214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.64 : 419.58 = 142.84 : x
  2. Step 2: Convert to fraction form
    279.64/419.58 = 142.84/x
  3. Step 3: Cross multiply
    279.64x = 419.58 × 142.84
  4. Step 4: Simplify right side
    279.64x = 59,932.81
  5. Step 5: Solve for x
    x = 59,932.81/279.64
  6. Step 6: Final answer
    x = 214.32

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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.