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Finding the Fourth Proportional to 287.73, 397.40 and 189.93

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Solution

The fourth proportional to 287.73, 397.40 and 189.93 is: 262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.73 : 397.40 = 189.93 : x
  2. Step 2: Convert to fraction form
    287.73/397.40 = 189.93/x
  3. Step 3: Cross multiply
    287.73x = 397.40 × 189.93
  4. Step 4: Simplify right side
    287.73x = 75,477.17
  5. Step 5: Solve for x
    x = 75,477.17/287.73
  6. Step 6: Final answer
    x = 262.32

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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.