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Finding the Fourth Proportional to 314.88, 471.84 and 186.24

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Solution

The fourth proportional to 314.88, 471.84 and 186.24 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.88 : 471.84 = 186.24 : x
  2. Step 2: Convert to fraction form
    314.88/471.84 = 186.24/x
  3. Step 3: Cross multiply
    314.88x = 471.84 × 186.24
  4. Step 4: Simplify right side
    314.88x = 87,875.48
  5. Step 5: Solve for x
    x = 87,875.48/314.88
  6. Step 6: Final answer
    x = 279.08

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