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Finding the Fourth Proportional to 296.02, 443.40 and 203.18

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Solution

The fourth proportional to 296.02, 443.40 and 203.18 is: 304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 443.40 = 203.18 : x
  2. Step 2: Convert to fraction form
    296.02/443.40 = 203.18/x
  3. Step 3: Cross multiply
    296.02x = 443.40 × 203.18
  4. Step 4: Simplify right side
    296.02x = 90,090.01
  5. Step 5: Solve for x
    x = 90,090.01/296.02
  6. Step 6: Final answer
    x = 304.34

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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.