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Finding the Fourth Proportional to 430.59, 645.90 and 142.02

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Solution

The fourth proportional to 430.59, 645.90 and 142.02 is: 213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.59 : 645.90 = 142.02 : x
  2. Step 2: Convert to fraction form
    430.59/645.90 = 142.02/x
  3. Step 3: Cross multiply
    430.59x = 645.90 × 142.02
  4. Step 4: Simplify right side
    430.59x = 91,733.67
  5. Step 5: Solve for x
    x = 91,733.67/430.59
  6. Step 6: Final answer
    x = 213.04

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