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Finding the Fourth Proportional to 289.30, 433.76 and 159.24

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Solution

The fourth proportional to 289.30, 433.76 and 159.24 is: 238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.30 : 433.76 = 159.24 : x
  2. Step 2: Convert to fraction form
    289.30/433.76 = 159.24/x
  3. Step 3: Cross multiply
    289.30x = 433.76 × 159.24
  4. Step 4: Simplify right side
    289.30x = 69,071.94
  5. Step 5: Solve for x
    x = 69,071.94/289.30
  6. Step 6: Final answer
    x = 238.76

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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.