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Finding the Fourth Proportional to 362.32, 543.43 and 118.84

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Solution

The fourth proportional to 362.32, 543.43 and 118.84 is: 178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 543.43 = 118.84 : x
  2. Step 2: Convert to fraction form
    362.32/543.43 = 118.84/x
  3. Step 3: Cross multiply
    362.32x = 543.43 × 118.84
  4. Step 4: Simplify right side
    362.32x = 64,580.01
  5. Step 5: Solve for x
    x = 64,580.01/362.32
  6. Step 6: Final answer
    x = 178.24

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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.