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Finding the Fourth Proportional to 200.72, 300.56 and 172.02

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Solution

The fourth proportional to 200.72, 300.56 and 172.02 is: 257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.72 : 300.56 = 172.02 : x
  2. Step 2: Convert to fraction form
    200.72/300.56 = 172.02/x
  3. Step 3: Cross multiply
    200.72x = 300.56 × 172.02
  4. Step 4: Simplify right side
    200.72x = 51,702.01
  5. Step 5: Solve for x
    x = 51,702.01/200.72
  6. Step 6: Final answer
    x = 257.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.