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Finding the Fourth Proportional to 156.28, 233.26 and 138.06

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Solution

The fourth proportional to 156.28, 233.26 and 138.06 is: 206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.28 : 233.26 = 138.06 : x
  2. Step 2: Convert to fraction form
    156.28/233.26 = 138.06/x
  3. Step 3: Cross multiply
    156.28x = 233.26 × 138.06
  4. Step 4: Simplify right side
    156.28x = 32,203.88
  5. Step 5: Solve for x
    x = 32,203.88/156.28
  6. Step 6: Final answer
    x = 206.07

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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.