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Finding the Fourth Proportional to 288.70, 433.05 and 166.90

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Solution

The fourth proportional to 288.70, 433.05 and 166.90 is: 250.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.70 : 433.05 = 166.90 : x
  2. Step 2: Convert to fraction form
    288.70/433.05 = 166.90/x
  3. Step 3: Cross multiply
    288.70x = 433.05 × 166.90
  4. Step 4: Simplify right side
    288.70x = 72,276.05
  5. Step 5: Solve for x
    x = 72,276.05/288.70
  6. Step 6: Final answer
    x = 250.35

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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.