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Finding the Fourth Proportional to 365.71, 504.69 and 199.93

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Solution

The fourth proportional to 365.71, 504.69 and 199.93 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.71 : 504.69 = 199.93 : x
  2. Step 2: Convert to fraction form
    365.71/504.69 = 199.93/x
  3. Step 3: Cross multiply
    365.71x = 504.69 × 199.93
  4. Step 4: Simplify right side
    365.71x = 100,902.67
  5. Step 5: Solve for x
    x = 100,902.67/365.71
  6. Step 6: Final answer
    x = 275.91

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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.