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Finding the Fourth Proportional to 468.10, 702.22 and 194.04

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Solution

The fourth proportional to 468.10, 702.22 and 194.04 is: 291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.10 : 702.22 = 194.04 : x
  2. Step 2: Convert to fraction form
    468.10/702.22 = 194.04/x
  3. Step 3: Cross multiply
    468.10x = 702.22 × 194.04
  4. Step 4: Simplify right side
    468.10x = 136,258.77
  5. Step 5: Solve for x
    x = 136,258.77/468.10
  6. Step 6: Final answer
    x = 291.09

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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.