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Finding the Fourth Proportional to 282.54, 423.83 and 90.17

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Solution

The fourth proportional to 282.54, 423.83 and 90.17 is: 135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.54 : 423.83 = 90.17 : x
  2. Step 2: Convert to fraction form
    282.54/423.83 = 90.17/x
  3. Step 3: Cross multiply
    282.54x = 423.83 × 90.17
  4. Step 4: Simplify right side
    282.54x = 38,216.75
  5. Step 5: Solve for x
    x = 38,216.75/282.54
  6. Step 6: Final answer
    x = 135.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.