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Finding the Fourth Proportional to 305.97, 458.66 and 123.25

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Solution

The fourth proportional to 305.97, 458.66 and 123.25 is: 184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.97 : 458.66 = 123.25 : x
  2. Step 2: Convert to fraction form
    305.97/458.66 = 123.25/x
  3. Step 3: Cross multiply
    305.97x = 458.66 × 123.25
  4. Step 4: Simplify right side
    305.97x = 56,529.23
  5. Step 5: Solve for x
    x = 56,529.23/305.97
  6. Step 6: Final answer
    x = 184.75

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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.