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Finding the Fourth Proportional to 305.12, 457.75 and 122.71

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Solution

The fourth proportional to 305.12, 457.75 and 122.71 is: 184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.12 : 457.75 = 122.71 : x
  2. Step 2: Convert to fraction form
    305.12/457.75 = 122.71/x
  3. Step 3: Cross multiply
    305.12x = 457.75 × 122.71
  4. Step 4: Simplify right side
    305.12x = 56,171.74
  5. Step 5: Solve for x
    x = 56,171.74/305.12
  6. Step 6: Final answer
    x = 184.10

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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.