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Finding the Fourth Proportional to 282.59, 424.10 and 120.32

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Solution

The fourth proportional to 282.59, 424.10 and 120.32 is: 180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.59 : 424.10 = 120.32 : x
  2. Step 2: Convert to fraction form
    282.59/424.10 = 120.32/x
  3. Step 3: Cross multiply
    282.59x = 424.10 × 120.32
  4. Step 4: Simplify right side
    282.59x = 51,025.89
  5. Step 5: Solve for x
    x = 51,025.89/282.59
  6. Step 6: Final answer
    x = 180.57

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