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Finding the Fourth Proportional to 362.03, 543.05 and 118.56

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Solution

The fourth proportional to 362.03, 543.05 and 118.56 is: 177.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.03 : 543.05 = 118.56 : x
  2. Step 2: Convert to fraction form
    362.03/543.05 = 118.56/x
  3. Step 3: Cross multiply
    362.03x = 543.05 × 118.56
  4. Step 4: Simplify right side
    362.03x = 64,384.01
  5. Step 5: Solve for x
    x = 64,384.01/362.03
  6. Step 6: Final answer
    x = 177.84

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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.