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Finding the Fourth Proportional to 304.21, 419.65 and 199.32

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Solution

The fourth proportional to 304.21, 419.65 and 199.32 is: 274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.21 : 419.65 = 199.32 : x
  2. Step 2: Convert to fraction form
    304.21/419.65 = 199.32/x
  3. Step 3: Cross multiply
    304.21x = 419.65 × 199.32
  4. Step 4: Simplify right side
    304.21x = 83,644.64
  5. Step 5: Solve for x
    x = 83,644.64/304.21
  6. Step 6: Final answer
    x = 274.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.