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Finding the Fourth Proportional to 431.00, 646.48 and 138.50

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Solution

The fourth proportional to 431.00, 646.48 and 138.50 is: 207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.00 : 646.48 = 138.50 : x
  2. Step 2: Convert to fraction form
    431.00/646.48 = 138.50/x
  3. Step 3: Cross multiply
    431.00x = 646.48 × 138.50
  4. Step 4: Simplify right side
    431.00x = 89,537.48
  5. Step 5: Solve for x
    x = 89,537.48/431.00
  6. Step 6: Final answer
    x = 207.75

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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.