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Finding the Fourth Proportional to 164.49, 245.54 and 142.98

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Solution

The fourth proportional to 164.49, 245.54 and 142.98 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.49 : 245.54 = 142.98 : x
  2. Step 2: Convert to fraction form
    164.49/245.54 = 142.98/x
  3. Step 3: Cross multiply
    164.49x = 245.54 × 142.98
  4. Step 4: Simplify right side
    164.49x = 35,106.59
  5. Step 5: Solve for x
    x = 35,106.59/164.49
  6. Step 6: Final answer
    x = 213.43

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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.