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Finding the Fourth Proportional to 289.52, 434.15 and 94.46

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Solution

The fourth proportional to 289.52, 434.15 and 94.46 is: 141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.52 : 434.15 = 94.46 : x
  2. Step 2: Convert to fraction form
    289.52/434.15 = 94.46/x
  3. Step 3: Cross multiply
    289.52x = 434.15 × 94.46
  4. Step 4: Simplify right side
    289.52x = 41,007.17
  5. Step 5: Solve for x
    x = 41,007.17/289.52
  6. Step 6: Final answer
    x = 141.64

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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.