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Finding the Fourth Proportional to 468.03, 702.06 and 194.14

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Solution

The fourth proportional to 468.03, 702.06 and 194.14 is: 291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.03 : 702.06 = 194.14 : x
  2. Step 2: Convert to fraction form
    468.03/702.06 = 194.14/x
  3. Step 3: Cross multiply
    468.03x = 702.06 × 194.14
  4. Step 4: Simplify right side
    468.03x = 136,297.93
  5. Step 5: Solve for x
    x = 136,297.93/468.03
  6. Step 6: Final answer
    x = 291.22

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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.