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Finding the Fourth Proportional to 173.08, 258.26 and 154.92

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Solution

The fourth proportional to 173.08, 258.26 and 154.92 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.08 : 258.26 = 154.92 : x
  2. Step 2: Convert to fraction form
    173.08/258.26 = 154.92/x
  3. Step 3: Cross multiply
    173.08x = 258.26 × 154.92
  4. Step 4: Simplify right side
    173.08x = 40,009.64
  5. Step 5: Solve for x
    x = 40,009.64/173.08
  6. Step 6: Final answer
    x = 231.16

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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.