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Finding the Fourth Proportional to 200.80, 276.72 and 151.60

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Solution

The fourth proportional to 200.80, 276.72 and 151.60 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 276.72 = 151.60 : x
  2. Step 2: Convert to fraction form
    200.80/276.72 = 151.60/x
  3. Step 3: Cross multiply
    200.80x = 276.72 × 151.60
  4. Step 4: Simplify right side
    200.80x = 41,950.75
  5. Step 5: Solve for x
    x = 41,950.75/200.80
  6. Step 6: Final answer
    x = 208.92

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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.