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Finding the Fourth Proportional to 263.59, 393.86 and 190.11

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Solution

The fourth proportional to 263.59, 393.86 and 190.11 is: 284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.59 : 393.86 = 190.11 : x
  2. Step 2: Convert to fraction form
    263.59/393.86 = 190.11/x
  3. Step 3: Cross multiply
    263.59x = 393.86 × 190.11
  4. Step 4: Simplify right side
    263.59x = 74,877.61
  5. Step 5: Solve for x
    x = 74,877.61/263.59
  6. Step 6: Final answer
    x = 284.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.