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Finding the Fourth Proportional to 206.49, 285.08 and 147.60

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Solution

The fourth proportional to 206.49, 285.08 and 147.60 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 285.08 = 147.60 : x
  2. Step 2: Convert to fraction form
    206.49/285.08 = 147.60/x
  3. Step 3: Cross multiply
    206.49x = 285.08 × 147.60
  4. Step 4: Simplify right side
    206.49x = 42,077.81
  5. Step 5: Solve for x
    x = 42,077.81/206.49
  6. Step 6: Final answer
    x = 203.78

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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.