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Finding the Fourth Proportional to 164.46, 245.62 and 149.34

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Solution

The fourth proportional to 164.46, 245.62 and 149.34 is: 223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 245.62 = 149.34 : x
  2. Step 2: Convert to fraction form
    164.46/245.62 = 149.34/x
  3. Step 3: Cross multiply
    164.46x = 245.62 × 149.34
  4. Step 4: Simplify right side
    164.46x = 36,680.89
  5. Step 5: Solve for x
    x = 36,680.89/164.46
  6. Step 6: Final answer
    x = 223.04

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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.