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Finding the Fourth Proportional to 561.76, 842.78 and 177.01

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Solution

The fourth proportional to 561.76, 842.78 and 177.01 is: 265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 842.78 = 177.01 : x
  2. Step 2: Convert to fraction form
    561.76/842.78 = 177.01/x
  3. Step 3: Cross multiply
    561.76x = 842.78 × 177.01
  4. Step 4: Simplify right side
    561.76x = 149,178.82
  5. Step 5: Solve for x
    x = 149,178.82/561.76
  6. Step 6: Final answer
    x = 265.56

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