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Finding the Fourth Proportional to 148.30, 222.06 and 105.02

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Solution

The fourth proportional to 148.30, 222.06 and 105.02 is: 157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.30 : 222.06 = 105.02 : x
  2. Step 2: Convert to fraction form
    148.30/222.06 = 105.02/x
  3. Step 3: Cross multiply
    148.30x = 222.06 × 105.02
  4. Step 4: Simplify right side
    148.30x = 23,320.74
  5. Step 5: Solve for x
    x = 23,320.74/148.30
  6. Step 6: Final answer
    x = 157.25

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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.