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Finding the Fourth Proportional to 286.14, 394.78 and 175.50

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Solution

The fourth proportional to 286.14, 394.78 and 175.50 is: 242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.14 : 394.78 = 175.50 : x
  2. Step 2: Convert to fraction form
    286.14/394.78 = 175.50/x
  3. Step 3: Cross multiply
    286.14x = 394.78 × 175.50
  4. Step 4: Simplify right side
    286.14x = 69,283.89
  5. Step 5: Solve for x
    x = 69,283.89/286.14
  6. Step 6: Final answer
    x = 242.13

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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.