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Finding the Fourth Proportional to 351.84, 485.53 and 194.47

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Solution

The fourth proportional to 351.84, 485.53 and 194.47 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 485.53 = 194.47 : x
  2. Step 2: Convert to fraction form
    351.84/485.53 = 194.47/x
  3. Step 3: Cross multiply
    351.84x = 485.53 × 194.47
  4. Step 4: Simplify right side
    351.84x = 94,417.62
  5. Step 5: Solve for x
    x = 94,417.62/351.84
  6. Step 6: Final answer
    x = 268.35

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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.