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Finding the Fourth Proportional to 362.04, 542.64 and 166.63

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Solution

The fourth proportional to 362.04, 542.64 and 166.63 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.04 : 542.64 = 166.63 : x
  2. Step 2: Convert to fraction form
    362.04/542.64 = 166.63/x
  3. Step 3: Cross multiply
    362.04x = 542.64 × 166.63
  4. Step 4: Simplify right side
    362.04x = 90,420.68
  5. Step 5: Solve for x
    x = 90,420.68/362.04
  6. Step 6: Final answer
    x = 249.75

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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.