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Finding the Fourth Proportional to 204.70, 282.51 and 117.38

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Solution

The fourth proportional to 204.70, 282.51 and 117.38 is: 162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.70 : 282.51 = 117.38 : x
  2. Step 2: Convert to fraction form
    204.70/282.51 = 117.38/x
  3. Step 3: Cross multiply
    204.70x = 282.51 × 117.38
  4. Step 4: Simplify right side
    204.70x = 33,161.02
  5. Step 5: Solve for x
    x = 33,161.02/204.70
  6. Step 6: Final answer
    x = 162.00

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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.