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Finding the Fourth Proportional to 245.91, 368.64 and 194.88

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Solution

The fourth proportional to 245.91, 368.64 and 194.88 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.91 : 368.64 = 194.88 : x
  2. Step 2: Convert to fraction form
    245.91/368.64 = 194.88/x
  3. Step 3: Cross multiply
    245.91x = 368.64 × 194.88
  4. Step 4: Simplify right side
    245.91x = 71,842.31
  5. Step 5: Solve for x
    x = 71,842.31/245.91
  6. Step 6: Final answer
    x = 292.14

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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.