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Finding the Fourth Proportional to 171.76, 257.12 and 152.40

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Solution

The fourth proportional to 171.76, 257.12 and 152.40 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.76 : 257.12 = 152.40 : x
  2. Step 2: Convert to fraction form
    171.76/257.12 = 152.40/x
  3. Step 3: Cross multiply
    171.76x = 257.12 × 152.40
  4. Step 4: Simplify right side
    171.76x = 39,185.09
  5. Step 5: Solve for x
    x = 39,185.09/171.76
  6. Step 6: Final answer
    x = 228.14

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