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Finding the Fourth Proportional to 309.76, 464.54 and 117.34

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Solution

The fourth proportional to 309.76, 464.54 and 117.34 is: 175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 464.54 = 117.34 : x
  2. Step 2: Convert to fraction form
    309.76/464.54 = 117.34/x
  3. Step 3: Cross multiply
    309.76x = 464.54 × 117.34
  4. Step 4: Simplify right side
    309.76x = 54,509.12
  5. Step 5: Solve for x
    x = 54,509.12/309.76
  6. Step 6: Final answer
    x = 175.97

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