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Finding the Fourth Proportional to 314.43, 471.88 and 177.59

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Solution

The fourth proportional to 314.43, 471.88 and 177.59 is: 266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.43 : 471.88 = 177.59 : x
  2. Step 2: Convert to fraction form
    314.43/471.88 = 177.59/x
  3. Step 3: Cross multiply
    314.43x = 471.88 × 177.59
  4. Step 4: Simplify right side
    314.43x = 83,802.57
  5. Step 5: Solve for x
    x = 83,802.57/314.43
  6. Step 6: Final answer
    x = 266.53

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