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Finding the Fourth Proportional to 362.42, 542.62 and 188.71

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Solution

The fourth proportional to 362.42, 542.62 and 188.71 is: 282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.42 : 542.62 = 188.71 : x
  2. Step 2: Convert to fraction form
    362.42/542.62 = 188.71/x
  3. Step 3: Cross multiply
    362.42x = 542.62 × 188.71
  4. Step 4: Simplify right side
    362.42x = 102,398.73
  5. Step 5: Solve for x
    x = 102,398.73/362.42
  6. Step 6: Final answer
    x = 282.54

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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.