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Finding the Fourth Proportional to 675.31, 1,012.84 and 188.41

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Solution

The fourth proportional to 675.31, 1,012.84 and 188.41 is: 282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.31 : 1,012.84 = 188.41 : x
  2. Step 2: Convert to fraction form
    675.31/1,012.84 = 188.41/x
  3. Step 3: Cross multiply
    675.31x = 1,012.84 × 188.41
  4. Step 4: Simplify right side
    675.31x = 190,829.18
  5. Step 5: Solve for x
    x = 190,829.18/675.31
  6. Step 6: Final answer
    x = 282.58

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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.