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Finding the Fourth Proportional to 148.32, 222.34 and 78.82

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Solution

The fourth proportional to 148.32, 222.34 and 78.82 is: 118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 222.34 = 78.82 : x
  2. Step 2: Convert to fraction form
    148.32/222.34 = 78.82/x
  3. Step 3: Cross multiply
    148.32x = 222.34 × 78.82
  4. Step 4: Simplify right side
    148.32x = 17,524.84
  5. Step 5: Solve for x
    x = 17,524.84/148.32
  6. Step 6: Final answer
    x = 118.16

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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.