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Finding the Fourth Proportional to 255.86, 383.64 and 101.67

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Solution

The fourth proportional to 255.86, 383.64 and 101.67 is: 152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.86 : 383.64 = 101.67 : x
  2. Step 2: Convert to fraction form
    255.86/383.64 = 101.67/x
  3. Step 3: Cross multiply
    255.86x = 383.64 × 101.67
  4. Step 4: Simplify right side
    255.86x = 39,004.68
  5. Step 5: Solve for x
    x = 39,004.68/255.86
  6. Step 6: Final answer
    x = 152.45

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