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Finding the Fourth Proportional to 289.51, 433.99 and 106.86

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Solution

The fourth proportional to 289.51, 433.99 and 106.86 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 433.99 = 106.86 : x
  2. Step 2: Convert to fraction form
    289.51/433.99 = 106.86/x
  3. Step 3: Cross multiply
    289.51x = 433.99 × 106.86
  4. Step 4: Simplify right side
    289.51x = 46,376.17
  5. Step 5: Solve for x
    x = 46,376.17/289.51
  6. Step 6: Final answer
    x = 160.19

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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.