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Finding the Fourth Proportional to 156.26, 233.09 and 142.59

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Solution

The fourth proportional to 156.26, 233.09 and 142.59 is: 212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.26 : 233.09 = 142.59 : x
  2. Step 2: Convert to fraction form
    156.26/233.09 = 142.59/x
  3. Step 3: Cross multiply
    156.26x = 233.09 × 142.59
  4. Step 4: Simplify right side
    156.26x = 33,235.59
  5. Step 5: Solve for x
    x = 33,235.59/156.26
  6. Step 6: Final answer
    x = 212.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.