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Finding the Fourth Proportional to 302, 452.66 and 165

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Solution

The fourth proportional to 302, 452.66 and 165 is: 247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 452.66 = 165 : x
  2. Step 2: Convert to fraction form
    302/452.66 = 165/x
  3. Step 3: Cross multiply
    302x = 452.66 × 165
  4. Step 4: Simplify right side
    302x = 74,688.90
  5. Step 5: Solve for x
    x = 74,688.90/302
  6. Step 6: Final answer
    x = 247.31

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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.