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Finding the Fourth Proportional to 468.02, 701.84 and 194.24

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Solution

The fourth proportional to 468.02, 701.84 and 194.24 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.02 : 701.84 = 194.24 : x
  2. Step 2: Convert to fraction form
    468.02/701.84 = 194.24/x
  3. Step 3: Cross multiply
    468.02x = 701.84 × 194.24
  4. Step 4: Simplify right side
    468.02x = 136,325.40
  5. Step 5: Solve for x
    x = 136,325.40/468.02
  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.