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Finding the Fourth Proportional to 319.70, 478.34 and 189.77

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Solution

The fourth proportional to 319.70, 478.34 and 189.77 is: 283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.70 : 478.34 = 189.77 : x
  2. Step 2: Convert to fraction form
    319.70/478.34 = 189.77/x
  3. Step 3: Cross multiply
    319.70x = 478.34 × 189.77
  4. Step 4: Simplify right side
    319.70x = 90,774.58
  5. Step 5: Solve for x
    x = 90,774.58/319.70
  6. Step 6: Final answer
    x = 283.94

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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.