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Finding the Fourth Proportional to 200.88, 277.02 and 159.30

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Solution

The fourth proportional to 200.88, 277.02 and 159.30 is: 219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 277.02 = 159.30 : x
  2. Step 2: Convert to fraction form
    200.88/277.02 = 159.30/x
  3. Step 3: Cross multiply
    200.88x = 277.02 × 159.30
  4. Step 4: Simplify right side
    200.88x = 44,129.29
  5. Step 5: Solve for x
    x = 44,129.29/200.88
  6. Step 6: Final answer
    x = 219.68

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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.