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Finding the Fourth Proportional to 289.12, 433.68 and 118.24

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Solution

The fourth proportional to 289.12, 433.68 and 118.24 is: 177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.12 : 433.68 = 118.24 : x
  2. Step 2: Convert to fraction form
    289.12/433.68 = 118.24/x
  3. Step 3: Cross multiply
    289.12x = 433.68 × 118.24
  4. Step 4: Simplify right side
    289.12x = 51,278.32
  5. Step 5: Solve for x
    x = 51,278.32/289.12
  6. Step 6: Final answer
    x = 177.36

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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.