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Finding the Fourth Proportional to 464.92, 697.29 and 140.21

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Solution

The fourth proportional to 464.92, 697.29 and 140.21 is: 210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 697.29 = 140.21 : x
  2. Step 2: Convert to fraction form
    464.92/697.29 = 140.21/x
  3. Step 3: Cross multiply
    464.92x = 697.29 × 140.21
  4. Step 4: Simplify right side
    464.92x = 97,765.63
  5. Step 5: Solve for x
    x = 97,765.63/464.92
  6. Step 6: Final answer
    x = 210.29

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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.