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Finding the Fourth Proportional to 468.36, 702.53 and 121.69

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Solution

The fourth proportional to 468.36, 702.53 and 121.69 is: 182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 702.53 = 121.69 : x
  2. Step 2: Convert to fraction form
    468.36/702.53 = 121.69/x
  3. Step 3: Cross multiply
    468.36x = 702.53 × 121.69
  4. Step 4: Simplify right side
    468.36x = 85,489.42
  5. Step 5: Solve for x
    x = 85,489.42/468.36
  6. Step 6: Final answer
    x = 182.53

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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.