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Finding the Fourth Proportional to 178.07, 266.97 and 120.15

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Solution

The fourth proportional to 178.07, 266.97 and 120.15 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.07 : 266.97 = 120.15 : x
  2. Step 2: Convert to fraction form
    178.07/266.97 = 120.15/x
  3. Step 3: Cross multiply
    178.07x = 266.97 × 120.15
  4. Step 4: Simplify right side
    178.07x = 32,075.89
  5. Step 5: Solve for x
    x = 32,075.89/178.07
  6. Step 6: Final answer
    x = 180.13

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