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Finding the Fourth Proportional to 148.35, 222.49 and 50.84

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Solution

The fourth proportional to 148.35, 222.49 and 50.84 is: 76.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.35 : 222.49 = 50.84 : x
  2. Step 2: Convert to fraction form
    148.35/222.49 = 50.84/x
  3. Step 3: Cross multiply
    148.35x = 222.49 × 50.84
  4. Step 4: Simplify right side
    148.35x = 11,312.01
  5. Step 5: Solve for x
    x = 11,312.01/148.35
  6. Step 6: Final answer
    x = 76.25

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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.