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Finding the Fourth Proportional to 157.08, 235.10 and 105.78

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Solution

The fourth proportional to 157.08, 235.10 and 105.78 is: 158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.08 : 235.10 = 105.78 : x
  2. Step 2: Convert to fraction form
    157.08/235.10 = 105.78/x
  3. Step 3: Cross multiply
    157.08x = 235.10 × 105.78
  4. Step 4: Simplify right side
    157.08x = 24,868.88
  5. Step 5: Solve for x
    x = 24,868.88/157.08
  6. Step 6: Final answer
    x = 158.32

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