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Finding the Fourth Proportional to 431.16, 646.78 and 142.62

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Solution

The fourth proportional to 431.16, 646.78 and 142.62 is: 213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 646.78 = 142.62 : x
  2. Step 2: Convert to fraction form
    431.16/646.78 = 142.62/x
  3. Step 3: Cross multiply
    431.16x = 646.78 × 142.62
  4. Step 4: Simplify right side
    431.16x = 92,243.76
  5. Step 5: Solve for x
    x = 92,243.76/431.16
  6. Step 6: Final answer
    x = 213.94

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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.