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Finding the Fourth Proportional to 152.45, 209.01 and 149.72

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Solution

The fourth proportional to 152.45, 209.01 and 149.72 is: 205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.45 : 209.01 = 149.72 : x
  2. Step 2: Convert to fraction form
    152.45/209.01 = 149.72/x
  3. Step 3: Cross multiply
    152.45x = 209.01 × 149.72
  4. Step 4: Simplify right side
    152.45x = 31,292.98
  5. Step 5: Solve for x
    x = 31,292.98/152.45
  6. Step 6: Final answer
    x = 205.27

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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.