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Finding the Fourth Proportional to 150.36, 206.35 and 138.04

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Solution

The fourth proportional to 150.36, 206.35 and 138.04 is: 189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.36 : 206.35 = 138.04 : x
  2. Step 2: Convert to fraction form
    150.36/206.35 = 138.04/x
  3. Step 3: Cross multiply
    150.36x = 206.35 × 138.04
  4. Step 4: Simplify right side
    150.36x = 28,484.55
  5. Step 5: Solve for x
    x = 28,484.55/150.36
  6. Step 6: Final answer
    x = 189.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.