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Finding the Fourth Proportional to 314.42, 470.88 and 184.14

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Solution

The fourth proportional to 314.42, 470.88 and 184.14 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 470.88 = 184.14 : x
  2. Step 2: Convert to fraction form
    314.42/470.88 = 184.14/x
  3. Step 3: Cross multiply
    314.42x = 470.88 × 184.14
  4. Step 4: Simplify right side
    314.42x = 86,707.84
  5. Step 5: Solve for x
    x = 86,707.84/314.42
  6. Step 6: Final answer
    x = 275.78

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