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Finding the Fourth Proportional to 287.82, 431.70 and 82.36

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Solution

The fourth proportional to 287.82, 431.70 and 82.36 is: 123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.82 : 431.70 = 82.36 : x
  2. Step 2: Convert to fraction form
    287.82/431.70 = 82.36/x
  3. Step 3: Cross multiply
    287.82x = 431.70 × 82.36
  4. Step 4: Simplify right side
    287.82x = 35,554.81
  5. Step 5: Solve for x
    x = 35,554.81/287.82
  6. Step 6: Final answer
    x = 123.53

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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.