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Finding the Fourth Proportional to 152.99, 210.67 and 149.80

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Solution

The fourth proportional to 152.99, 210.67 and 149.80 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.99 : 210.67 = 149.80 : x
  2. Step 2: Convert to fraction form
    152.99/210.67 = 149.80/x
  3. Step 3: Cross multiply
    152.99x = 210.67 × 149.80
  4. Step 4: Simplify right side
    152.99x = 31,558.37
  5. Step 5: Solve for x
    x = 31,558.37/152.99
  6. Step 6: Final answer
    x = 206.28

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Why These Related Problems?

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