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Finding the Fourth Proportional to 301.51, 451.86 and 179.81

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Solution

The fourth proportional to 301.51, 451.86 and 179.81 is: 269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.51 : 451.86 = 179.81 : x
  2. Step 2: Convert to fraction form
    301.51/451.86 = 179.81/x
  3. Step 3: Cross multiply
    301.51x = 451.86 × 179.81
  4. Step 4: Simplify right side
    301.51x = 81,248.95
  5. Step 5: Solve for x
    x = 81,248.95/301.51
  6. Step 6: Final answer
    x = 269.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.