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Finding the Fourth Proportional to 156.02, 234.97 and 142.19

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Solution

The fourth proportional to 156.02, 234.97 and 142.19 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.02 : 234.97 = 142.19 : x
  2. Step 2: Convert to fraction form
    156.02/234.97 = 142.19/x
  3. Step 3: Cross multiply
    156.02x = 234.97 × 142.19
  4. Step 4: Simplify right side
    156.02x = 33,408.85
  5. Step 5: Solve for x
    x = 33,408.85/156.02
  6. Step 6: Final answer
    x = 214.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.