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Finding the Fourth Proportional to 384.05, 575.70 and 152.87

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Solution

The fourth proportional to 384.05, 575.70 and 152.87 is: 229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.05 : 575.70 = 152.87 : x
  2. Step 2: Convert to fraction form
    384.05/575.70 = 152.87/x
  3. Step 3: Cross multiply
    384.05x = 575.70 × 152.87
  4. Step 4: Simplify right side
    384.05x = 88,004.38
  5. Step 5: Solve for x
    x = 88,004.38/384.05
  6. Step 6: Final answer
    x = 229.15

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