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Finding the Fourth Proportional to 206, 284.28 and 117.48

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Solution

The fourth proportional to 206, 284.28 and 117.48 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 284.28 = 117.48 : x
  2. Step 2: Convert to fraction form
    206/284.28 = 117.48/x
  3. Step 3: Cross multiply
    206x = 284.28 × 117.48
  4. Step 4: Simplify right side
    206x = 33,397.21
  5. Step 5: Solve for x
    x = 33,397.21/206
  6. Step 6: Final answer
    x = 162.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.