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Finding the Fourth Proportional to 156.89, 234 and 141.41

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Solution

The fourth proportional to 156.89, 234 and 141.41 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.89 : 234 = 141.41 : x
  2. Step 2: Convert to fraction form
    156.89/234 = 141.41/x
  3. Step 3: Cross multiply
    156.89x = 234 × 141.41
  4. Step 4: Simplify right side
    156.89x = 33,090.53
  5. Step 5: Solve for x
    x = 33,090.53/156.89
  6. Step 6: Final answer
    x = 210.91

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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.