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Finding the Fourth Proportional to 164.07, 244.77 and 147.67

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Solution

The fourth proportional to 164.07, 244.77 and 147.67 is: 220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.07 : 244.77 = 147.67 : x
  2. Step 2: Convert to fraction form
    164.07/244.77 = 147.67/x
  3. Step 3: Cross multiply
    164.07x = 244.77 × 147.67
  4. Step 4: Simplify right side
    164.07x = 36,144.33
  5. Step 5: Solve for x
    x = 36,144.33/164.07
  6. Step 6: Final answer
    x = 220.30

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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.