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Finding the Fourth Proportional to 616.53, 924.93 and 177.78

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Solution

The fourth proportional to 616.53, 924.93 and 177.78 is: 266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.53 : 924.93 = 177.78 : x
  2. Step 2: Convert to fraction form
    616.53/924.93 = 177.78/x
  3. Step 3: Cross multiply
    616.53x = 924.93 × 177.78
  4. Step 4: Simplify right side
    616.53x = 164,434.06
  5. Step 5: Solve for x
    x = 164,434.06/616.53
  6. Step 6: Final answer
    x = 266.71

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