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Finding the Fourth Proportional to 152.12, 227.50 and 111.13

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Solution

The fourth proportional to 152.12, 227.50 and 111.13 is: 166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 227.50 = 111.13 : x
  2. Step 2: Convert to fraction form
    152.12/227.50 = 111.13/x
  3. Step 3: Cross multiply
    152.12x = 227.50 × 111.13
  4. Step 4: Simplify right side
    152.12x = 25,281.23
  5. Step 5: Solve for x
    x = 25,281.23/152.12
  6. Step 6: Final answer
    x = 166.19

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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.