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Finding the Fourth Proportional to 464.75, 697.14 and 140.12

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Solution

The fourth proportional to 464.75, 697.14 and 140.12 is: 210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.75 : 697.14 = 140.12 : x
  2. Step 2: Convert to fraction form
    464.75/697.14 = 140.12/x
  3. Step 3: Cross multiply
    464.75x = 697.14 × 140.12
  4. Step 4: Simplify right side
    464.75x = 97,683.26
  5. Step 5: Solve for x
    x = 97,683.26/464.75
  6. Step 6: Final answer
    x = 210.18

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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.