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Finding the Fourth Proportional to 173.31, 258.59 and 149.01

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Solution

The fourth proportional to 173.31, 258.59 and 149.01 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.31 : 258.59 = 149.01 : x
  2. Step 2: Convert to fraction form
    173.31/258.59 = 149.01/x
  3. Step 3: Cross multiply
    173.31x = 258.59 × 149.01
  4. Step 4: Simplify right side
    173.31x = 38,531.75
  5. Step 5: Solve for x
    x = 38,531.75/173.31
  6. Step 6: Final answer
    x = 222.33

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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.