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Finding the Fourth Proportional to 289.35, 433.66 and 145.11

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Solution

The fourth proportional to 289.35, 433.66 and 145.11 is: 217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.35 : 433.66 = 145.11 : x
  2. Step 2: Convert to fraction form
    289.35/433.66 = 145.11/x
  3. Step 3: Cross multiply
    289.35x = 433.66 × 145.11
  4. Step 4: Simplify right side
    289.35x = 62,928.40
  5. Step 5: Solve for x
    x = 62,928.40/289.35
  6. Step 6: Final answer
    x = 217.48

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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.