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Finding the Fourth Proportional to 206.53, 284.71 and 147.48

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Solution

The fourth proportional to 206.53, 284.71 and 147.48 is: 203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.53 : 284.71 = 147.48 : x
  2. Step 2: Convert to fraction form
    206.53/284.71 = 147.48/x
  3. Step 3: Cross multiply
    206.53x = 284.71 × 147.48
  4. Step 4: Simplify right side
    206.53x = 41,989.03
  5. Step 5: Solve for x
    x = 41,989.03/206.53
  6. Step 6: Final answer
    x = 203.31

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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.