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Finding the Fourth Proportional to 289.04, 433.32 and 106.40

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Solution

The fourth proportional to 289.04, 433.32 and 106.40 is: 159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 433.32 = 106.40 : x
  2. Step 2: Convert to fraction form
    289.04/433.32 = 106.40/x
  3. Step 3: Cross multiply
    289.04x = 433.32 × 106.40
  4. Step 4: Simplify right side
    289.04x = 46,105.25
  5. Step 5: Solve for x
    x = 46,105.25/289.04
  6. Step 6: Final answer
    x = 159.51

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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.