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Finding the Fourth Proportional to 362.42, 543.64 and 102.43

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Solution

The fourth proportional to 362.42, 543.64 and 102.43 is: 153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.42 : 543.64 = 102.43 : x
  2. Step 2: Convert to fraction form
    362.42/543.64 = 102.43/x
  3. Step 3: Cross multiply
    362.42x = 543.64 × 102.43
  4. Step 4: Simplify right side
    362.42x = 55,683.41
  5. Step 5: Solve for x
    x = 55,683.41/362.42
  6. Step 6: Final answer
    x = 153.64

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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.