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Finding the Fourth Proportional to 282.62, 390.02 and 170.61

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Solution

The fourth proportional to 282.62, 390.02 and 170.61 is: 235.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.62 : 390.02 = 170.61 : x
  2. Step 2: Convert to fraction form
    282.62/390.02 = 170.61/x
  3. Step 3: Cross multiply
    282.62x = 390.02 × 170.61
  4. Step 4: Simplify right side
    282.62x = 66,540.46
  5. Step 5: Solve for x
    x = 66,540.46/282.62
  6. Step 6: Final answer
    x = 235.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.