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Finding the Fourth Proportional to 148.36, 222.54 and 52.24

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Solution

The fourth proportional to 148.36, 222.54 and 52.24 is: 78.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.36 : 222.54 = 52.24 : x
  2. Step 2: Convert to fraction form
    148.36/222.54 = 52.24/x
  3. Step 3: Cross multiply
    148.36x = 222.54 × 52.24
  4. Step 4: Simplify right side
    148.36x = 11,625.49
  5. Step 5: Solve for x
    x = 11,625.49/148.36
  6. Step 6: Final answer
    x = 78.36

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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.