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Finding the Fourth Proportional to 148.37, 222.36 and 114

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Solution

The fourth proportional to 148.37, 222.36 and 114 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.37 : 222.36 = 114 : x
  2. Step 2: Convert to fraction form
    148.37/222.36 = 114/x
  3. Step 3: Cross multiply
    148.37x = 222.36 × 114
  4. Step 4: Simplify right side
    148.37x = 25,349.04
  5. Step 5: Solve for x
    x = 25,349.04/148.37
  6. Step 6: Final answer
    x = 170.85

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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.