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Finding the Fourth Proportional to 465.11, 697.44 and 140.39

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Solution

The fourth proportional to 465.11, 697.44 and 140.39 is: 210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.11 : 697.44 = 140.39 : x
  2. Step 2: Convert to fraction form
    465.11/697.44 = 140.39/x
  3. Step 3: Cross multiply
    465.11x = 697.44 × 140.39
  4. Step 4: Simplify right side
    465.11x = 97,913.60
  5. Step 5: Solve for x
    x = 97,913.60/465.11
  6. Step 6: Final answer
    x = 210.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.