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Finding the Fourth Proportional to 164.16, 245.70 and 149.22

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Solution

The fourth proportional to 164.16, 245.70 and 149.22 is: 223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 245.70 = 149.22 : x
  2. Step 2: Convert to fraction form
    164.16/245.70 = 149.22/x
  3. Step 3: Cross multiply
    164.16x = 245.70 × 149.22
  4. Step 4: Simplify right side
    164.16x = 36,663.35
  5. Step 5: Solve for x
    x = 36,663.35/164.16
  6. Step 6: Final answer
    x = 223.34

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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.