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Finding the Fourth Proportional to 152.19, 226.73 and 142.88

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Solution

The fourth proportional to 152.19, 226.73 and 142.88 is: 212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.19 : 226.73 = 142.88 : x
  2. Step 2: Convert to fraction form
    152.19/226.73 = 142.88/x
  3. Step 3: Cross multiply
    152.19x = 226.73 × 142.88
  4. Step 4: Simplify right side
    152.19x = 32,394.41
  5. Step 5: Solve for x
    x = 32,394.41/152.19
  6. Step 6: Final answer
    x = 212.86

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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.