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Finding the Fourth Proportional to 152.00, 227.73 and 78.80

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Solution

The fourth proportional to 152.00, 227.73 and 78.80 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.00 : 227.73 = 78.80 : x
  2. Step 2: Convert to fraction form
    152.00/227.73 = 78.80/x
  3. Step 3: Cross multiply
    152.00x = 227.73 × 78.80
  4. Step 4: Simplify right side
    152.00x = 17,943.99
  5. Step 5: Solve for x
    x = 17,943.99/152.00
  6. Step 6: Final answer
    x = 118.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.