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Finding the Fourth Proportional to 287.68, 431.76 and 206.56

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Solution

The fourth proportional to 287.68, 431.76 and 206.56 is: 310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.68 : 431.76 = 206.56 : x
  2. Step 2: Convert to fraction form
    287.68/431.76 = 206.56/x
  3. Step 3: Cross multiply
    287.68x = 431.76 × 206.56
  4. Step 4: Simplify right side
    287.68x = 89,184.35
  5. Step 5: Solve for x
    x = 89,184.35/287.68
  6. Step 6: Final answer
    x = 310.01

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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.