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Finding the Fourth Proportional to 305.19, 457.44 and 142.53

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Solution

The fourth proportional to 305.19, 457.44 and 142.53 is: 213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.19 : 457.44 = 142.53 : x
  2. Step 2: Convert to fraction form
    305.19/457.44 = 142.53/x
  3. Step 3: Cross multiply
    305.19x = 457.44 × 142.53
  4. Step 4: Simplify right side
    305.19x = 65,198.21
  5. Step 5: Solve for x
    x = 65,198.21/305.19
  6. Step 6: Final answer
    x = 213.63

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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.