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Finding the Fourth Proportional to 303.63, 419.09 and 187.13

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Solution

The fourth proportional to 303.63, 419.09 and 187.13 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.63 : 419.09 = 187.13 : x
  2. Step 2: Convert to fraction form
    303.63/419.09 = 187.13/x
  3. Step 3: Cross multiply
    303.63x = 419.09 × 187.13
  4. Step 4: Simplify right side
    303.63x = 78,424.31
  5. Step 5: Solve for x
    x = 78,424.31/303.63
  6. Step 6: Final answer
    x = 258.29

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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.