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Finding the Fourth Proportional to 152.96, 209.66 and 150.90

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Solution

The fourth proportional to 152.96, 209.66 and 150.90 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 209.66 = 150.90 : x
  2. Step 2: Convert to fraction form
    152.96/209.66 = 150.90/x
  3. Step 3: Cross multiply
    152.96x = 209.66 × 150.90
  4. Step 4: Simplify right side
    152.96x = 31,636.94
  5. Step 5: Solve for x
    x = 31,636.94/152.96
  6. Step 6: Final answer
    x = 206.84

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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.