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Finding the Fourth Proportional to 289.99, 434.98 and 116.74

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Solution

The fourth proportional to 289.99, 434.98 and 116.74 is: 175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 434.98 = 116.74 : x
  2. Step 2: Convert to fraction form
    289.99/434.98 = 116.74/x
  3. Step 3: Cross multiply
    289.99x = 434.98 × 116.74
  4. Step 4: Simplify right side
    289.99x = 50,779.57
  5. Step 5: Solve for x
    x = 50,779.57/289.99
  6. Step 6: Final answer
    x = 175.11

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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.