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Finding the Fourth Proportional to 153.08, 229.14 and 138.23

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Solution

The fourth proportional to 153.08, 229.14 and 138.23 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.08 : 229.14 = 138.23 : x
  2. Step 2: Convert to fraction form
    153.08/229.14 = 138.23/x
  3. Step 3: Cross multiply
    153.08x = 229.14 × 138.23
  4. Step 4: Simplify right side
    153.08x = 31,672.88
  5. Step 5: Solve for x
    x = 31,672.88/153.08
  6. Step 6: Final answer
    x = 206.91

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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.