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Finding the Fourth Proportional to 468.44, 702.67 and 160.65

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Solution

The fourth proportional to 468.44, 702.67 and 160.65 is: 240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.44 : 702.67 = 160.65 : x
  2. Step 2: Convert to fraction form
    468.44/702.67 = 160.65/x
  3. Step 3: Cross multiply
    468.44x = 702.67 × 160.65
  4. Step 4: Simplify right side
    468.44x = 112,880.34
  5. Step 5: Solve for x
    x = 112,880.34/468.44
  6. Step 6: Final answer
    x = 240.97

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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.