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Finding the Fourth Proportional to 362.41, 543.69 and 156.94

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Solution

The fourth proportional to 362.41, 543.69 and 156.94 is: 235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.41 : 543.69 = 156.94 : x
  2. Step 2: Convert to fraction form
    362.41/543.69 = 156.94/x
  3. Step 3: Cross multiply
    362.41x = 543.69 × 156.94
  4. Step 4: Simplify right side
    362.41x = 85,326.71
  5. Step 5: Solve for x
    x = 85,326.71/362.41
  6. Step 6: Final answer
    x = 235.44

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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.