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Finding the Fourth Proportional to 464.80, 697.30 and 140.14

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Solution

The fourth proportional to 464.80, 697.30 and 140.14 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.80 : 697.30 = 140.14 : x
  2. Step 2: Convert to fraction form
    464.80/697.30 = 140.14/x
  3. Step 3: Cross multiply
    464.80x = 697.30 × 140.14
  4. Step 4: Simplify right side
    464.80x = 97,719.62
  5. Step 5: Solve for x
    x = 97,719.62/464.80
  6. Step 6: Final answer
    x = 210.24

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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.