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Finding the Fourth Proportional to 289.75, 434.55 and 135.53

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Solution

The fourth proportional to 289.75, 434.55 and 135.53 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.75 : 434.55 = 135.53 : x
  2. Step 2: Convert to fraction form
    289.75/434.55 = 135.53/x
  3. Step 3: Cross multiply
    289.75x = 434.55 × 135.53
  4. Step 4: Simplify right side
    289.75x = 58,892.39
  5. Step 5: Solve for x
    x = 58,892.39/289.75
  6. Step 6: Final answer
    x = 203.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.