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Finding the Fourth Proportional to 154.91, 214.14 and 142.16

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Solution

The fourth proportional to 154.91, 214.14 and 142.16 is: 196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.91 : 214.14 = 142.16 : x
  2. Step 2: Convert to fraction form
    154.91/214.14 = 142.16/x
  3. Step 3: Cross multiply
    154.91x = 214.14 × 142.16
  4. Step 4: Simplify right side
    154.91x = 30,441.60
  5. Step 5: Solve for x
    x = 30,441.60/154.91
  6. Step 6: Final answer
    x = 196.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.