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Finding the Fourth Proportional to 145.28, 216.94 and 141.44

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Solution

The fourth proportional to 145.28, 216.94 and 141.44 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.28 : 216.94 = 141.44 : x
  2. Step 2: Convert to fraction form
    145.28/216.94 = 141.44/x
  3. Step 3: Cross multiply
    145.28x = 216.94 × 141.44
  4. Step 4: Simplify right side
    145.28x = 30,683.99
  5. Step 5: Solve for x
    x = 30,683.99/145.28
  6. Step 6: Final answer
    x = 211.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.