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Finding the Fourth Proportional to 200.64, 275.19 and 185.52

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Solution

The fourth proportional to 200.64, 275.19 and 185.52 is: 254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.64 : 275.19 = 185.52 : x
  2. Step 2: Convert to fraction form
    200.64/275.19 = 185.52/x
  3. Step 3: Cross multiply
    200.64x = 275.19 × 185.52
  4. Step 4: Simplify right side
    200.64x = 51,053.25
  5. Step 5: Solve for x
    x = 51,053.25/200.64
  6. Step 6: Final answer
    x = 254.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.