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Finding the Fourth Proportional to 173.04, 261.06 and 164.04

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Solution

The fourth proportional to 173.04, 261.06 and 164.04 is: 247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.04 : 261.06 = 164.04 : x
  2. Step 2: Convert to fraction form
    173.04/261.06 = 164.04/x
  3. Step 3: Cross multiply
    173.04x = 261.06 × 164.04
  4. Step 4: Simplify right side
    173.04x = 42,824.28
  5. Step 5: Solve for x
    x = 42,824.28/173.04
  6. Step 6: Final answer
    x = 247.48

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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.