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Finding the Fourth Proportional to 194.63, 268.52 and 110.59

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Solution

The fourth proportional to 194.63, 268.52 and 110.59 is: 152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.63 : 268.52 = 110.59 : x
  2. Step 2: Convert to fraction form
    194.63/268.52 = 110.59/x
  3. Step 3: Cross multiply
    194.63x = 268.52 × 110.59
  4. Step 4: Simplify right side
    194.63x = 29,695.82
  5. Step 5: Solve for x
    x = 29,695.82/194.63
  6. Step 6: Final answer
    x = 152.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.