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Finding the Fourth Proportional to 150.36, 207 and 137.04

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Solution

The fourth proportional to 150.36, 207 and 137.04 is: 188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.36 : 207 = 137.04 : x
  2. Step 2: Convert to fraction form
    150.36/207 = 137.04/x
  3. Step 3: Cross multiply
    150.36x = 207 × 137.04
  4. Step 4: Simplify right side
    150.36x = 28,367.28
  5. Step 5: Solve for x
    x = 28,367.28/150.36
  6. Step 6: Final answer
    x = 188.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.