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Finding the Fourth Proportional to 307.82, 461.80 and 145.40

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Solution

The fourth proportional to 307.82, 461.80 and 145.40 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 461.80 = 145.40 : x
  2. Step 2: Convert to fraction form
    307.82/461.80 = 145.40/x
  3. Step 3: Cross multiply
    307.82x = 461.80 × 145.40
  4. Step 4: Simplify right side
    307.82x = 67,145.72
  5. Step 5: Solve for x
    x = 67,145.72/307.82
  6. Step 6: Final answer
    x = 218.13

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