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Finding the Fourth Proportional to 362.51, 543.74 and 119.01

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Solution

The fourth proportional to 362.51, 543.74 and 119.01 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.51 : 543.74 = 119.01 : x
  2. Step 2: Convert to fraction form
    362.51/543.74 = 119.01/x
  3. Step 3: Cross multiply
    362.51x = 543.74 × 119.01
  4. Step 4: Simplify right side
    362.51x = 64,709.90
  5. Step 5: Solve for x
    x = 64,709.90/362.51
  6. Step 6: Final answer
    x = 178.51

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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.