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Finding the Fourth Proportional to 310.78, 429.05 and 192.78

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Solution

The fourth proportional to 310.78, 429.05 and 192.78 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.78 : 429.05 = 192.78 : x
  2. Step 2: Convert to fraction form
    310.78/429.05 = 192.78/x
  3. Step 3: Cross multiply
    310.78x = 429.05 × 192.78
  4. Step 4: Simplify right side
    310.78x = 82,712.26
  5. Step 5: Solve for x
    x = 82,712.26/310.78
  6. Step 6: Final answer
    x = 266.14

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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.