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Finding the Fourth Proportional to 267.51, 400.98 and 203.25

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Solution

The fourth proportional to 267.51, 400.98 and 203.25 is: 304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.51 : 400.98 = 203.25 : x
  2. Step 2: Convert to fraction form
    267.51/400.98 = 203.25/x
  3. Step 3: Cross multiply
    267.51x = 400.98 × 203.25
  4. Step 4: Simplify right side
    267.51x = 81,499.19
  5. Step 5: Solve for x
    x = 81,499.19/267.51
  6. Step 6: Final answer
    x = 304.66

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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.