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Finding the Fourth Proportional to 289.38, 434.15 and 152.39

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Solution

The fourth proportional to 289.38, 434.15 and 152.39 is: 228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 434.15 = 152.39 : x
  2. Step 2: Convert to fraction form
    289.38/434.15 = 152.39/x
  3. Step 3: Cross multiply
    289.38x = 434.15 × 152.39
  4. Step 4: Simplify right side
    289.38x = 66,161.87
  5. Step 5: Solve for x
    x = 66,161.87/289.38
  6. Step 6: Final answer
    x = 228.63

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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.