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Finding the Fourth Proportional to 468.02, 702.20 and 194.14

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Solution

The fourth proportional to 468.02, 702.20 and 194.14 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 702.20 = 194.14 : x
  2. Step 2: Convert to fraction form
    468.02/702.20 = 194.14/x
  3. Step 3: Cross multiply
    468.02x = 702.20 × 194.14
  4. Step 4: Simplify right side
    468.02x = 136,325.11
  5. Step 5: Solve for x
    x = 136,325.11/468.02
  6. Step 6: Final answer
    x = 291.28

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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.