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Finding the Fourth Proportional to 401.83, 602.78 and 127.94

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Solution

The fourth proportional to 401.83, 602.78 and 127.94 is: 191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.83 : 602.78 = 127.94 : x
  2. Step 2: Convert to fraction form
    401.83/602.78 = 127.94/x
  3. Step 3: Cross multiply
    401.83x = 602.78 × 127.94
  4. Step 4: Simplify right side
    401.83x = 77,116.02
  5. Step 5: Solve for x
    x = 77,116.02/401.83
  6. Step 6: Final answer
    x = 191.91

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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.