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Finding the Fourth Proportional to 430.24, 645.16 and 137.68

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Solution

The fourth proportional to 430.24, 645.16 and 137.68 is: 206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.24 : 645.16 = 137.68 : x
  2. Step 2: Convert to fraction form
    430.24/645.16 = 137.68/x
  3. Step 3: Cross multiply
    430.24x = 645.16 × 137.68
  4. Step 4: Simplify right side
    430.24x = 88,827.24
  5. Step 5: Solve for x
    x = 88,827.24/430.24
  6. Step 6: Final answer
    x = 206.46

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