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Finding the Fourth Proportional to 204.90, 282.72 and 117.60

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Solution

The fourth proportional to 204.90, 282.72 and 117.60 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 282.72 = 117.60 : x
  2. Step 2: Convert to fraction form
    204.90/282.72 = 117.60/x
  3. Step 3: Cross multiply
    204.90x = 282.72 × 117.60
  4. Step 4: Simplify right side
    204.90x = 33,247.87
  5. Step 5: Solve for x
    x = 33,247.87/204.90
  6. Step 6: Final answer
    x = 162.26

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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.