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Finding the Fourth Proportional to 431.07, 646.62 and 142.50

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Solution

The fourth proportional to 431.07, 646.62 and 142.50 is: 213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.07 : 646.62 = 142.50 : x
  2. Step 2: Convert to fraction form
    431.07/646.62 = 142.50/x
  3. Step 3: Cross multiply
    431.07x = 646.62 × 142.50
  4. Step 4: Simplify right side
    431.07x = 92,143.35
  5. Step 5: Solve for x
    x = 92,143.35/431.07
  6. Step 6: Final answer
    x = 213.75

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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.