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Finding the Fourth Proportional to 301.78, 416.54 and 203.51

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Solution

The fourth proportional to 301.78, 416.54 and 203.51 is: 280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 416.54 = 203.51 : x
  2. Step 2: Convert to fraction form
    301.78/416.54 = 203.51/x
  3. Step 3: Cross multiply
    301.78x = 416.54 × 203.51
  4. Step 4: Simplify right side
    301.78x = 84,771.61
  5. Step 5: Solve for x
    x = 84,771.61/301.78
  6. Step 6: Final answer
    x = 280.91

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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.