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Finding the Fourth Proportional to 156.21, 233.34 and 125.84

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Solution

The fourth proportional to 156.21, 233.34 and 125.84 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.21 : 233.34 = 125.84 : x
  2. Step 2: Convert to fraction form
    156.21/233.34 = 125.84/x
  3. Step 3: Cross multiply
    156.21x = 233.34 × 125.84
  4. Step 4: Simplify right side
    156.21x = 29,362.34
  5. Step 5: Solve for x
    x = 29,362.34/156.21
  6. Step 6: Final answer
    x = 187.97

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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.