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Finding the Fourth Proportional to 194.42, 291.35 and 153.92

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Solution

The fourth proportional to 194.42, 291.35 and 153.92 is: 230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.42 : 291.35 = 153.92 : x
  2. Step 2: Convert to fraction form
    194.42/291.35 = 153.92/x
  3. Step 3: Cross multiply
    194.42x = 291.35 × 153.92
  4. Step 4: Simplify right side
    194.42x = 44,842.37
  5. Step 5: Solve for x
    x = 44,842.37/194.42
  6. Step 6: Final answer
    x = 230.65

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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.