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Finding the Fourth Proportional to 196.90, 294.90 and 192.40

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Solution

The fourth proportional to 196.90, 294.90 and 192.40 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 294.90 = 192.40 : x
  2. Step 2: Convert to fraction form
    196.90/294.90 = 192.40/x
  3. Step 3: Cross multiply
    196.90x = 294.90 × 192.40
  4. Step 4: Simplify right side
    196.90x = 56,738.76
  5. Step 5: Solve for x
    x = 56,738.76/196.90
  6. Step 6: Final answer
    x = 288.16

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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.