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Finding the Fourth Proportional to 765.96, 1,148.93 and 218.14

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Solution

The fourth proportional to 765.96, 1,148.93 and 218.14 is: 327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.96 : 1,148.93 = 218.14 : x
  2. Step 2: Convert to fraction form
    765.96/1,148.93 = 218.14/x
  3. Step 3: Cross multiply
    765.96x = 1,148.93 × 218.14
  4. Step 4: Simplify right side
    765.96x = 250,627.59
  5. Step 5: Solve for x
    x = 250,627.59/765.96
  6. Step 6: Final answer
    x = 327.21

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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.