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Finding the Fourth Proportional to 465.32, 698.14 and 140.76

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Solution

The fourth proportional to 465.32, 698.14 and 140.76 is: 211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.32 : 698.14 = 140.76 : x
  2. Step 2: Convert to fraction form
    465.32/698.14 = 140.76/x
  3. Step 3: Cross multiply
    465.32x = 698.14 × 140.76
  4. Step 4: Simplify right side
    465.32x = 98,270.19
  5. Step 5: Solve for x
    x = 98,270.19/465.32
  6. Step 6: Final answer
    x = 211.19

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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.