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Finding the Fourth Proportional to 365.99, 549.14 and 203.78

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Solution

The fourth proportional to 365.99, 549.14 and 203.78 is: 305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.99 : 549.14 = 203.78 : x
  2. Step 2: Convert to fraction form
    365.99/549.14 = 203.78/x
  3. Step 3: Cross multiply
    365.99x = 549.14 × 203.78
  4. Step 4: Simplify right side
    365.99x = 111,904.10
  5. Step 5: Solve for x
    x = 111,904.10/365.99
  6. Step 6: Final answer
    x = 305.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.