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Finding the Fourth Proportional to 199.59, 275.31 and 185.70

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Solution

The fourth proportional to 199.59, 275.31 and 185.70 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.59 : 275.31 = 185.70 : x
  2. Step 2: Convert to fraction form
    199.59/275.31 = 185.70/x
  3. Step 3: Cross multiply
    199.59x = 275.31 × 185.70
  4. Step 4: Simplify right side
    199.59x = 51,125.07
  5. Step 5: Solve for x
    x = 51,125.07/199.59
  6. Step 6: Final answer
    x = 256.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.