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Finding the Fourth Proportional to 304.51, 420.20 and 186.44

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Solution

The fourth proportional to 304.51, 420.20 and 186.44 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.51 : 420.20 = 186.44 : x
  2. Step 2: Convert to fraction form
    304.51/420.20 = 186.44/x
  3. Step 3: Cross multiply
    304.51x = 420.20 × 186.44
  4. Step 4: Simplify right side
    304.51x = 78,342.21
  5. Step 5: Solve for x
    x = 78,342.21/304.51
  6. Step 6: Final answer
    x = 257.27

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