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Finding the Fourth Proportional to 312.66, 431.31 and 188.25

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Solution

The fourth proportional to 312.66, 431.31 and 188.25 is: 259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.66 : 431.31 = 188.25 : x
  2. Step 2: Convert to fraction form
    312.66/431.31 = 188.25/x
  3. Step 3: Cross multiply
    312.66x = 431.31 × 188.25
  4. Step 4: Simplify right side
    312.66x = 81,194.11
  5. Step 5: Solve for x
    x = 81,194.11/312.66
  6. Step 6: Final answer
    x = 259.69

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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.