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Finding the Fourth Proportional to 289.53, 434.40 and 143.34

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Solution

The fourth proportional to 289.53, 434.40 and 143.34 is: 215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 434.40 = 143.34 : x
  2. Step 2: Convert to fraction form
    289.53/434.40 = 143.34/x
  3. Step 3: Cross multiply
    289.53x = 434.40 × 143.34
  4. Step 4: Simplify right side
    289.53x = 62,266.90
  5. Step 5: Solve for x
    x = 62,266.90/289.53
  6. Step 6: Final answer
    x = 215.06

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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.