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Finding the Fourth Proportional to 204.67, 282.76 and 158.23

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Solution

The fourth proportional to 204.67, 282.76 and 158.23 is: 218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.67 : 282.76 = 158.23 : x
  2. Step 2: Convert to fraction form
    204.67/282.76 = 158.23/x
  3. Step 3: Cross multiply
    204.67x = 282.76 × 158.23
  4. Step 4: Simplify right side
    204.67x = 44,741.11
  5. Step 5: Solve for x
    x = 44,741.11/204.67
  6. Step 6: Final answer
    x = 218.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.