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Finding the Fourth Proportional to 200.03, 275.96 and 150.35

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Solution

The fourth proportional to 200.03, 275.96 and 150.35 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.03 : 275.96 = 150.35 : x
  2. Step 2: Convert to fraction form
    200.03/275.96 = 150.35/x
  3. Step 3: Cross multiply
    200.03x = 275.96 × 150.35
  4. Step 4: Simplify right side
    200.03x = 41,489.83
  5. Step 5: Solve for x
    x = 41,489.83/200.03
  6. Step 6: Final answer
    x = 207.42

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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.