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Finding the Fourth Proportional to 178.33, 266.04 and 173.37

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Solution

The fourth proportional to 178.33, 266.04 and 173.37 is: 258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.33 : 266.04 = 173.37 : x
  2. Step 2: Convert to fraction form
    178.33/266.04 = 173.37/x
  3. Step 3: Cross multiply
    178.33x = 266.04 × 173.37
  4. Step 4: Simplify right side
    178.33x = 46,122.37
  5. Step 5: Solve for x
    x = 46,122.37/178.33
  6. Step 6: Final answer
    x = 258.64

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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.