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Finding the Fourth Proportional to 228.24, 342.24 and 180

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Solution

The fourth proportional to 228.24, 342.24 and 180 is: 269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.24 : 342.24 = 180 : x
  2. Step 2: Convert to fraction form
    228.24/342.24 = 180/x
  3. Step 3: Cross multiply
    228.24x = 342.24 × 180
  4. Step 4: Simplify right side
    228.24x = 61,603.20
  5. Step 5: Solve for x
    x = 61,603.20/228.24
  6. Step 6: Final answer
    x = 269.91

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