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Finding the Fourth Proportional to 288.20, 432.14 and 210.44

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Solution

The fourth proportional to 288.20, 432.14 and 210.44 is: 315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.20 : 432.14 = 210.44 : x
  2. Step 2: Convert to fraction form
    288.20/432.14 = 210.44/x
  3. Step 3: Cross multiply
    288.20x = 432.14 × 210.44
  4. Step 4: Simplify right side
    288.20x = 90,939.54
  5. Step 5: Solve for x
    x = 90,939.54/288.20
  6. Step 6: Final answer
    x = 315.54

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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.