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Finding the Fourth Proportional to 289.61, 434.16 and 173.90

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Solution

The fourth proportional to 289.61, 434.16 and 173.90 is: 260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.61 : 434.16 = 173.90 : x
  2. Step 2: Convert to fraction form
    289.61/434.16 = 173.90/x
  3. Step 3: Cross multiply
    289.61x = 434.16 × 173.90
  4. Step 4: Simplify right side
    289.61x = 75,500.42
  5. Step 5: Solve for x
    x = 75,500.42/289.61
  6. Step 6: Final answer
    x = 260.70

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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.