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Finding the Fourth Proportional to 288.25, 432.07 and 206.84

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Solution

The fourth proportional to 288.25, 432.07 and 206.84 is: 310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 432.07 = 206.84 : x
  2. Step 2: Convert to fraction form
    288.25/432.07 = 206.84/x
  3. Step 3: Cross multiply
    288.25x = 432.07 × 206.84
  4. Step 4: Simplify right side
    288.25x = 89,369.92
  5. Step 5: Solve for x
    x = 89,369.92/288.25
  6. Step 6: Final answer
    x = 310.05

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Why These Related Problems?

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