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Finding the Fourth Proportional to 313.70, 469.38 and 189.86

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Solution

The fourth proportional to 313.70, 469.38 and 189.86 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 469.38 = 189.86 : x
  2. Step 2: Convert to fraction form
    313.70/469.38 = 189.86/x
  3. Step 3: Cross multiply
    313.70x = 469.38 × 189.86
  4. Step 4: Simplify right side
    313.70x = 89,116.49
  5. Step 5: Solve for x
    x = 89,116.49/313.70
  6. Step 6: Final answer
    x = 284.08

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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.