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Finding the Fourth Proportional to 362.78, 543.71 and 157.22

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Solution

The fourth proportional to 362.78, 543.71 and 157.22 is: 235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.78 : 543.71 = 157.22 : x
  2. Step 2: Convert to fraction form
    362.78/543.71 = 157.22/x
  3. Step 3: Cross multiply
    362.78x = 543.71 × 157.22
  4. Step 4: Simplify right side
    362.78x = 85,482.09
  5. Step 5: Solve for x
    x = 85,482.09/362.78
  6. Step 6: Final answer
    x = 235.63

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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.