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Finding the Fourth Proportional to 282.58, 423.75 and 128.46

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Solution

The fourth proportional to 282.58, 423.75 and 128.46 is: 192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.58 : 423.75 = 128.46 : x
  2. Step 2: Convert to fraction form
    282.58/423.75 = 128.46/x
  3. Step 3: Cross multiply
    282.58x = 423.75 × 128.46
  4. Step 4: Simplify right side
    282.58x = 54,434.93
  5. Step 5: Solve for x
    x = 54,434.93/282.58
  6. Step 6: Final answer
    x = 192.64

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