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Finding the Fourth Proportional to 282.73, 390.13 and 172.23

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Solution

The fourth proportional to 282.73, 390.13 and 172.23 is: 237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.73 : 390.13 = 172.23 : x
  2. Step 2: Convert to fraction form
    282.73/390.13 = 172.23/x
  3. Step 3: Cross multiply
    282.73x = 390.13 × 172.23
  4. Step 4: Simplify right side
    282.73x = 67,192.09
  5. Step 5: Solve for x
    x = 67,192.09/282.73
  6. Step 6: Final answer
    x = 237.65

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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.