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Finding the Fourth Proportional to 282.69, 423.75 and 160.70

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Solution

The fourth proportional to 282.69, 423.75 and 160.70 is: 240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.69 : 423.75 = 160.70 : x
  2. Step 2: Convert to fraction form
    282.69/423.75 = 160.70/x
  3. Step 3: Cross multiply
    282.69x = 423.75 × 160.70
  4. Step 4: Simplify right side
    282.69x = 68,096.59
  5. Step 5: Solve for x
    x = 68,096.59/282.69
  6. Step 6: Final answer
    x = 240.89

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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.