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Finding the Fourth Proportional to 156.15, 233.97 and 110.40

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Solution

The fourth proportional to 156.15, 233.97 and 110.40 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.15 : 233.97 = 110.40 : x
  2. Step 2: Convert to fraction form
    156.15/233.97 = 110.40/x
  3. Step 3: Cross multiply
    156.15x = 233.97 × 110.40
  4. Step 4: Simplify right side
    156.15x = 25,830.29
  5. Step 5: Solve for x
    x = 25,830.29/156.15
  6. Step 6: Final answer
    x = 165.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.