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Finding the Fourth Proportional to 304.29, 419.74 and 199.35

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Solution

The fourth proportional to 304.29, 419.74 and 199.35 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.29 : 419.74 = 199.35 : x
  2. Step 2: Convert to fraction form
    304.29/419.74 = 199.35/x
  3. Step 3: Cross multiply
    304.29x = 419.74 × 199.35
  4. Step 4: Simplify right side
    304.29x = 83,675.17
  5. Step 5: Solve for x
    x = 83,675.17/304.29
  6. Step 6: Final answer
    x = 274.98

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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.