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Finding the Fourth Proportional to 155.69, 231.92 and 148.67

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Solution

The fourth proportional to 155.69, 231.92 and 148.67 is: 221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.69 : 231.92 = 148.67 : x
  2. Step 2: Convert to fraction form
    155.69/231.92 = 148.67/x
  3. Step 3: Cross multiply
    155.69x = 231.92 × 148.67
  4. Step 4: Simplify right side
    155.69x = 34,479.38
  5. Step 5: Solve for x
    x = 34,479.38/155.69
  6. Step 6: Final answer
    x = 221.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.