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Finding the Fourth Proportional to 468.36, 702.16 and 179.64

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Solution

The fourth proportional to 468.36, 702.16 and 179.64 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 702.16 = 179.64 : x
  2. Step 2: Convert to fraction form
    468.36/702.16 = 179.64/x
  3. Step 3: Cross multiply
    468.36x = 702.16 × 179.64
  4. Step 4: Simplify right side
    468.36x = 126,136.02
  5. Step 5: Solve for x
    x = 126,136.02/468.36
  6. Step 6: Final answer
    x = 269.31

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Why These Related Problems?

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