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Finding the Fourth Proportional to 164.45, 247.76 and 148.83

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Solution

The fourth proportional to 164.45, 247.76 and 148.83 is: 224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.45 : 247.76 = 148.83 : x
  2. Step 2: Convert to fraction form
    164.45/247.76 = 148.83/x
  3. Step 3: Cross multiply
    164.45x = 247.76 × 148.83
  4. Step 4: Simplify right side
    164.45x = 36,874.49
  5. Step 5: Solve for x
    x = 36,874.49/164.45
  6. Step 6: Final answer
    x = 224.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.