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Finding the Fourth Proportional to 349.92, 482.90 and 194.67

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Solution

The fourth proportional to 349.92, 482.90 and 194.67 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.92 : 482.90 = 194.67 : x
  2. Step 2: Convert to fraction form
    349.92/482.90 = 194.67/x
  3. Step 3: Cross multiply
    349.92x = 482.90 × 194.67
  4. Step 4: Simplify right side
    349.92x = 94,005.17
  5. Step 5: Solve for x
    x = 94,005.17/349.92
  6. Step 6: Final answer
    x = 268.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.