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Finding the Fourth Proportional to 255.66, 383.19 and 152.88

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Solution

The fourth proportional to 255.66, 383.19 and 152.88 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 383.19 = 152.88 : x
  2. Step 2: Convert to fraction form
    255.66/383.19 = 152.88/x
  3. Step 3: Cross multiply
    255.66x = 383.19 × 152.88
  4. Step 4: Simplify right side
    255.66x = 58,582.09
  5. Step 5: Solve for x
    x = 58,582.09/255.66
  6. Step 6: Final answer
    x = 229.14

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