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Finding the Fourth Proportional to 148.42, 222.58 and 44.27

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Solution

The fourth proportional to 148.42, 222.58 and 44.27 is: 66.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.42 : 222.58 = 44.27 : x
  2. Step 2: Convert to fraction form
    148.42/222.58 = 44.27/x
  3. Step 3: Cross multiply
    148.42x = 222.58 × 44.27
  4. Step 4: Simplify right side
    148.42x = 9,854.65
  5. Step 5: Solve for x
    x = 9,854.65/148.42
  6. Step 6: Final answer
    x = 66.40

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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.