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Finding the Fourth Proportional to 464.60, 697.02 and 139.97

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Solution

The fourth proportional to 464.60, 697.02 and 139.97 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.60 : 697.02 = 139.97 : x
  2. Step 2: Convert to fraction form
    464.60/697.02 = 139.97/x
  3. Step 3: Cross multiply
    464.60x = 697.02 × 139.97
  4. Step 4: Simplify right side
    464.60x = 97,563.63
  5. Step 5: Solve for x
    x = 97,563.63/464.60
  6. Step 6: Final answer
    x = 209.99

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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.