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Finding the Fourth Proportional to 465.14, 697.76 and 140.50

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Solution

The fourth proportional to 465.14, 697.76 and 140.50 is: 210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 697.76 = 140.50 : x
  2. Step 2: Convert to fraction form
    465.14/697.76 = 140.50/x
  3. Step 3: Cross multiply
    465.14x = 697.76 × 140.50
  4. Step 4: Simplify right side
    465.14x = 98,035.28
  5. Step 5: Solve for x
    x = 98,035.28/465.14
  6. Step 6: Final answer
    x = 210.77

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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.