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Finding the Fourth Proportional to 156.36, 234.46 and 113.64

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Solution

The fourth proportional to 156.36, 234.46 and 113.64 is: 170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 234.46 = 113.64 : x
  2. Step 2: Convert to fraction form
    156.36/234.46 = 113.64/x
  3. Step 3: Cross multiply
    156.36x = 234.46 × 113.64
  4. Step 4: Simplify right side
    156.36x = 26,644.03
  5. Step 5: Solve for x
    x = 26,644.03/156.36
  6. Step 6: Final answer
    x = 170.40

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Why These Related Problems?

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