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Finding the Fourth Proportional to 304.40, 420.27 and 192.41

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Solution

The fourth proportional to 304.40, 420.27 and 192.41 is: 265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.40 : 420.27 = 192.41 : x
  2. Step 2: Convert to fraction form
    304.40/420.27 = 192.41/x
  3. Step 3: Cross multiply
    304.40x = 420.27 × 192.41
  4. Step 4: Simplify right side
    304.40x = 80,862.05
  5. Step 5: Solve for x
    x = 80,862.05/304.40
  6. Step 6: Final answer
    x = 265.65

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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.