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Finding the Fourth Proportional to 430.82, 646.32 and 142.25

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Solution

The fourth proportional to 430.82, 646.32 and 142.25 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.82 : 646.32 = 142.25 : x
  2. Step 2: Convert to fraction form
    430.82/646.32 = 142.25/x
  3. Step 3: Cross multiply
    430.82x = 646.32 × 142.25
  4. Step 4: Simplify right side
    430.82x = 91,939.02
  5. Step 5: Solve for x
    x = 91,939.02/430.82
  6. Step 6: Final answer
    x = 213.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.