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Finding the Fourth Proportional to 430.42, 645.52 and 137.86

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Solution

The fourth proportional to 430.42, 645.52 and 137.86 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.42 : 645.52 = 137.86 : x
  2. Step 2: Convert to fraction form
    430.42/645.52 = 137.86/x
  3. Step 3: Cross multiply
    430.42x = 645.52 × 137.86
  4. Step 4: Simplify right side
    430.42x = 88,991.39
  5. Step 5: Solve for x
    x = 88,991.39/430.42
  6. Step 6: Final answer
    x = 206.75

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