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Finding the Fourth Proportional to 543.78, 815.57 and 153.80

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Solution

The fourth proportional to 543.78, 815.57 and 153.80 is: 230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.78 : 815.57 = 153.80 : x
  2. Step 2: Convert to fraction form
    543.78/815.57 = 153.80/x
  3. Step 3: Cross multiply
    543.78x = 815.57 × 153.80
  4. Step 4: Simplify right side
    543.78x = 125,433.45
  5. Step 5: Solve for x
    x = 125,433.45/543.78
  6. Step 6: Final answer
    x = 230.67

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