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Finding the Fourth Proportional to 152.80, 229.20 and 61.46

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Solution

The fourth proportional to 152.80, 229.20 and 61.46 is: 92.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.80 : 229.20 = 61.46 : x
  2. Step 2: Convert to fraction form
    152.80/229.20 = 61.46/x
  3. Step 3: Cross multiply
    152.80x = 229.20 × 61.46
  4. Step 4: Simplify right side
    152.80x = 14,086.63
  5. Step 5: Solve for x
    x = 14,086.63/152.80
  6. Step 6: Final answer
    x = 92.19

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