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Finding the Fourth Proportional to 288.90, 432.96 and 165.30

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Solution

The fourth proportional to 288.90, 432.96 and 165.30 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 432.96 = 165.30 : x
  2. Step 2: Convert to fraction form
    288.90/432.96 = 165.30/x
  3. Step 3: Cross multiply
    288.90x = 432.96 × 165.30
  4. Step 4: Simplify right side
    288.90x = 71,568.29
  5. Step 5: Solve for x
    x = 71,568.29/288.90
  6. Step 6: Final answer
    x = 247.73

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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.