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Finding the Fourth Proportional to 468.03, 702.04 and 194.12

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Solution

The fourth proportional to 468.03, 702.04 and 194.12 is: 291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.03 : 702.04 = 194.12 : x
  2. Step 2: Convert to fraction form
    468.03/702.04 = 194.12/x
  3. Step 3: Cross multiply
    468.03x = 702.04 × 194.12
  4. Step 4: Simplify right side
    468.03x = 136,280.00
  5. Step 5: Solve for x
    x = 136,280.00/468.03
  6. Step 6: Final answer
    x = 291.18

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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.