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Finding the Fourth Proportional to 465.23, 697.85 and 140.59

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Solution

The fourth proportional to 465.23, 697.85 and 140.59 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.23 : 697.85 = 140.59 : x
  2. Step 2: Convert to fraction form
    465.23/697.85 = 140.59/x
  3. Step 3: Cross multiply
    465.23x = 697.85 × 140.59
  4. Step 4: Simplify right side
    465.23x = 98,110.73
  5. Step 5: Solve for x
    x = 98,110.73/465.23
  6. Step 6: Final answer
    x = 210.89

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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.