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Finding the Fourth Proportional to 296.42, 443.51 and 205.29

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Solution

The fourth proportional to 296.42, 443.51 and 205.29 is: 307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.42 : 443.51 = 205.29 : x
  2. Step 2: Convert to fraction form
    296.42/443.51 = 205.29/x
  3. Step 3: Cross multiply
    296.42x = 443.51 × 205.29
  4. Step 4: Simplify right side
    296.42x = 91,047.91
  5. Step 5: Solve for x
    x = 91,047.91/296.42
  6. Step 6: Final answer
    x = 307.16

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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.