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Finding the Fourth Proportional to 156.74, 235.26 and 111.26

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Solution

The fourth proportional to 156.74, 235.26 and 111.26 is: 167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.74 : 235.26 = 111.26 : x
  2. Step 2: Convert to fraction form
    156.74/235.26 = 111.26/x
  3. Step 3: Cross multiply
    156.74x = 235.26 × 111.26
  4. Step 4: Simplify right side
    156.74x = 26,175.03
  5. Step 5: Solve for x
    x = 26,175.03/156.74
  6. Step 6: Final answer
    x = 167.00

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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.