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Finding the Fourth Proportional to 468.09, 702.13 and 193.88

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Solution

The fourth proportional to 468.09, 702.13 and 193.88 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.09 : 702.13 = 193.88 : x
  2. Step 2: Convert to fraction form
    468.09/702.13 = 193.88/x
  3. Step 3: Cross multiply
    468.09x = 702.13 × 193.88
  4. Step 4: Simplify right side
    468.09x = 136,125.45
  5. Step 5: Solve for x
    x = 136,125.45/468.09
  6. Step 6: Final answer
    x = 290.81

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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.