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Finding the Fourth Proportional to 156.26, 233.88 and 150.80

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Solution

The fourth proportional to 156.26, 233.88 and 150.80 is: 225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.26 : 233.88 = 150.80 : x
  2. Step 2: Convert to fraction form
    156.26/233.88 = 150.80/x
  3. Step 3: Cross multiply
    156.26x = 233.88 × 150.80
  4. Step 4: Simplify right side
    156.26x = 35,267.37
  5. Step 5: Solve for x
    x = 35,267.37/156.26
  6. Step 6: Final answer
    x = 225.69

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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.