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Finding the Fourth Proportional to 468.02, 702.21 and 179.39

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Solution

The fourth proportional to 468.02, 702.21 and 179.39 is: 269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 702.21 = 179.39 : x
  2. Step 2: Convert to fraction form
    468.02/702.21 = 179.39/x
  3. Step 3: Cross multiply
    468.02x = 702.21 × 179.39
  4. Step 4: Simplify right side
    468.02x = 125,969.45
  5. Step 5: Solve for x
    x = 125,969.45/468.02
  6. Step 6: Final answer
    x = 269.15

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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.