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Finding the Fourth Proportional to 305.12, 457.86 and 122.52

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Solution

The fourth proportional to 305.12, 457.86 and 122.52 is: 183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.12 : 457.86 = 122.52 : x
  2. Step 2: Convert to fraction form
    305.12/457.86 = 122.52/x
  3. Step 3: Cross multiply
    305.12x = 457.86 × 122.52
  4. Step 4: Simplify right side
    305.12x = 56,097.01
  5. Step 5: Solve for x
    x = 56,097.01/305.12
  6. Step 6: Final answer
    x = 183.85

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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.