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Finding the Fourth Proportional to 279.60, 419.29 and 188.34

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Solution

The fourth proportional to 279.60, 419.29 and 188.34 is: 282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.60 : 419.29 = 188.34 : x
  2. Step 2: Convert to fraction form
    279.60/419.29 = 188.34/x
  3. Step 3: Cross multiply
    279.60x = 419.29 × 188.34
  4. Step 4: Simplify right side
    279.60x = 78,969.08
  5. Step 5: Solve for x
    x = 78,969.08/279.60
  6. Step 6: Final answer
    x = 282.44

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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.