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Finding the Fourth Proportional to 204.69, 282.53 and 117.42

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Solution

The fourth proportional to 204.69, 282.53 and 117.42 is: 162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.69 : 282.53 = 117.42 : x
  2. Step 2: Convert to fraction form
    204.69/282.53 = 117.42/x
  3. Step 3: Cross multiply
    204.69x = 282.53 × 117.42
  4. Step 4: Simplify right side
    204.69x = 33,172.67
  5. Step 5: Solve for x
    x = 33,172.67/204.69
  6. Step 6: Final answer
    x = 162.07

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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.