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Finding the Fourth Proportional to 362.81, 544.16 and 106.25

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Solution

The fourth proportional to 362.81, 544.16 and 106.25 is: 159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.81 : 544.16 = 106.25 : x
  2. Step 2: Convert to fraction form
    362.81/544.16 = 106.25/x
  3. Step 3: Cross multiply
    362.81x = 544.16 × 106.25
  4. Step 4: Simplify right side
    362.81x = 57,816.47
  5. Step 5: Solve for x
    x = 57,816.47/362.81
  6. Step 6: Final answer
    x = 159.36

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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.