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Finding the Fourth Proportional to 312.98, 431.77 and 188.56

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Solution

The fourth proportional to 312.98, 431.77 and 188.56 is: 260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.98 : 431.77 = 188.56 : x
  2. Step 2: Convert to fraction form
    312.98/431.77 = 188.56/x
  3. Step 3: Cross multiply
    312.98x = 431.77 × 188.56
  4. Step 4: Simplify right side
    312.98x = 81,414.55
  5. Step 5: Solve for x
    x = 81,414.55/312.98
  6. Step 6: Final answer
    x = 260.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.