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Finding the Fourth Proportional to 377.84, 566.71 and 117.86

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Solution

The fourth proportional to 377.84, 566.71 and 117.86 is: 176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.84 : 566.71 = 117.86 : x
  2. Step 2: Convert to fraction form
    377.84/566.71 = 117.86/x
  3. Step 3: Cross multiply
    377.84x = 566.71 × 117.86
  4. Step 4: Simplify right side
    377.84x = 66,792.44
  5. Step 5: Solve for x
    x = 66,792.44/377.84
  6. Step 6: Final answer
    x = 176.77

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