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Finding the Fourth Proportional to 204.58, 282.29 and 120.53

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Solution

The fourth proportional to 204.58, 282.29 and 120.53 is: 166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.58 : 282.29 = 120.53 : x
  2. Step 2: Convert to fraction form
    204.58/282.29 = 120.53/x
  3. Step 3: Cross multiply
    204.58x = 282.29 × 120.53
  4. Step 4: Simplify right side
    204.58x = 34,024.41
  5. Step 5: Solve for x
    x = 34,024.41/204.58
  6. Step 6: Final answer
    x = 166.31

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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.