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Finding the Fourth Proportional to 178.97, 266.69 and 173.16

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Solution

The fourth proportional to 178.97, 266.69 and 173.16 is: 258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.97 : 266.69 = 173.16 : x
  2. Step 2: Convert to fraction form
    178.97/266.69 = 173.16/x
  3. Step 3: Cross multiply
    178.97x = 266.69 × 173.16
  4. Step 4: Simplify right side
    178.97x = 46,180.47
  5. Step 5: Solve for x
    x = 46,180.47/178.97
  6. Step 6: Final answer
    x = 258.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.