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Finding the Fourth Proportional to 468.26, 702.30 and 143.54

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Solution

The fourth proportional to 468.26, 702.30 and 143.54 is: 215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 702.30 = 143.54 : x
  2. Step 2: Convert to fraction form
    468.26/702.30 = 143.54/x
  3. Step 3: Cross multiply
    468.26x = 702.30 × 143.54
  4. Step 4: Simplify right side
    468.26x = 100,808.14
  5. Step 5: Solve for x
    x = 100,808.14/468.26
  6. Step 6: Final answer
    x = 215.28

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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.