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Finding the Fourth Proportional to 206.48, 284.58 and 147.49

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Solution

The fourth proportional to 206.48, 284.58 and 147.49 is: 203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 284.58 = 147.49 : x
  2. Step 2: Convert to fraction form
    206.48/284.58 = 147.49/x
  3. Step 3: Cross multiply
    206.48x = 284.58 × 147.49
  4. Step 4: Simplify right side
    206.48x = 41,971.99
  5. Step 5: Solve for x
    x = 41,971.99/206.48
  6. Step 6: Final answer
    x = 203.27

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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.