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Finding the Fourth Proportional to 200.73, 302.16 and 155.37

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Solution

The fourth proportional to 200.73, 302.16 and 155.37 is: 233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.73 : 302.16 = 155.37 : x
  2. Step 2: Convert to fraction form
    200.73/302.16 = 155.37/x
  3. Step 3: Cross multiply
    200.73x = 302.16 × 155.37
  4. Step 4: Simplify right side
    200.73x = 46,946.60
  5. Step 5: Solve for x
    x = 46,946.60/200.73
  6. Step 6: Final answer
    x = 233.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.