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Finding the Fourth Proportional to 314.06, 470.96 and 177.18

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Solution

The fourth proportional to 314.06, 470.96 and 177.18 is: 265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 470.96 = 177.18 : x
  2. Step 2: Convert to fraction form
    314.06/470.96 = 177.18/x
  3. Step 3: Cross multiply
    314.06x = 470.96 × 177.18
  4. Step 4: Simplify right side
    314.06x = 83,444.69
  5. Step 5: Solve for x
    x = 83,444.69/314.06
  6. Step 6: Final answer
    x = 265.70

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