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Finding the Fourth Proportional to 431.98, 648.11 and 188.66

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Solution

The fourth proportional to 431.98, 648.11 and 188.66 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.98 : 648.11 = 188.66 : x
  2. Step 2: Convert to fraction form
    431.98/648.11 = 188.66/x
  3. Step 3: Cross multiply
    431.98x = 648.11 × 188.66
  4. Step 4: Simplify right side
    431.98x = 122,274.52
  5. Step 5: Solve for x
    x = 122,274.52/431.98
  6. Step 6: Final answer
    x = 283.06

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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.