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Finding the Fourth Proportional to 147.86, 222.31 and 125.08

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Solution

The fourth proportional to 147.86, 222.31 and 125.08 is: 188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 222.31 = 125.08 : x
  2. Step 2: Convert to fraction form
    147.86/222.31 = 125.08/x
  3. Step 3: Cross multiply
    147.86x = 222.31 × 125.08
  4. Step 4: Simplify right side
    147.86x = 27,806.14
  5. Step 5: Solve for x
    x = 27,806.14/147.86
  6. Step 6: Final answer
    x = 188.06

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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.