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Finding the Fourth Proportional to 362, 542.64 and 169.28

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Solution

The fourth proportional to 362, 542.64 and 169.28 is: 253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362 : 542.64 = 169.28 : x
  2. Step 2: Convert to fraction form
    362/542.64 = 169.28/x
  3. Step 3: Cross multiply
    362x = 542.64 × 169.28
  4. Step 4: Simplify right side
    362x = 91,858.10
  5. Step 5: Solve for x
    x = 91,858.10/362
  6. Step 6: Final answer
    x = 253.75

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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.