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Finding the Fourth Proportional to 173.08, 258.53 and 164.35

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Solution

The fourth proportional to 173.08, 258.53 and 164.35 is: 245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.08 : 258.53 = 164.35 : x
  2. Step 2: Convert to fraction form
    173.08/258.53 = 164.35/x
  3. Step 3: Cross multiply
    173.08x = 258.53 × 164.35
  4. Step 4: Simplify right side
    173.08x = 42,489.41
  5. Step 5: Solve for x
    x = 42,489.41/173.08
  6. Step 6: Final answer
    x = 245.49

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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.