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Finding the Fourth Proportional to 289.98, 435.29 and 116.76

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Solution

The fourth proportional to 289.98, 435.29 and 116.76 is: 175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.98 : 435.29 = 116.76 : x
  2. Step 2: Convert to fraction form
    289.98/435.29 = 116.76/x
  3. Step 3: Cross multiply
    289.98x = 435.29 × 116.76
  4. Step 4: Simplify right side
    289.98x = 50,824.46
  5. Step 5: Solve for x
    x = 50,824.46/289.98
  6. Step 6: Final answer
    x = 175.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.