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Finding the Fourth Proportional to 394.78, 592.14 and 134.77

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Solution

The fourth proportional to 394.78, 592.14 and 134.77 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.78 : 592.14 = 134.77 : x
  2. Step 2: Convert to fraction form
    394.78/592.14 = 134.77/x
  3. Step 3: Cross multiply
    394.78x = 592.14 × 134.77
  4. Step 4: Simplify right side
    394.78x = 79,801.23
  5. Step 5: Solve for x
    x = 79,801.23/394.78
  6. Step 6: Final answer
    x = 202.14

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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.