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Finding the Fourth Proportional to 204.99, 282.85 and 117.64

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Solution

The fourth proportional to 204.99, 282.85 and 117.64 is: 162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.99 : 282.85 = 117.64 : x
  2. Step 2: Convert to fraction form
    204.99/282.85 = 117.64/x
  3. Step 3: Cross multiply
    204.99x = 282.85 × 117.64
  4. Step 4: Simplify right side
    204.99x = 33,274.47
  5. Step 5: Solve for x
    x = 33,274.47/204.99
  6. Step 6: Final answer
    x = 162.32

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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.