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Finding the Fourth Proportional to 152, 227.84 and 75

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Solution

The fourth proportional to 152, 227.84 and 75 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152 : 227.84 = 75 : x
  2. Step 2: Convert to fraction form
    152/227.84 = 75/x
  3. Step 3: Cross multiply
    152x = 227.84 × 75
  4. Step 4: Simplify right side
    152x = 17,088
  5. Step 5: Solve for x
    x = 17,088/152
  6. Step 6: Final answer
    x = 112.42

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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.