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Finding the Fourth Proportional to 289.18, 433.54 and 104.02

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Solution

The fourth proportional to 289.18, 433.54 and 104.02 is: 155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.18 : 433.54 = 104.02 : x
  2. Step 2: Convert to fraction form
    289.18/433.54 = 104.02/x
  3. Step 3: Cross multiply
    289.18x = 433.54 × 104.02
  4. Step 4: Simplify right side
    289.18x = 45,096.83
  5. Step 5: Solve for x
    x = 45,096.83/289.18
  6. Step 6: Final answer
    x = 155.95

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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.