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Finding the Fourth Proportional to 194.42, 291.76 and 117.54

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Solution

The fourth proportional to 194.42, 291.76 and 117.54 is: 176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.42 : 291.76 = 117.54 : x
  2. Step 2: Convert to fraction form
    194.42/291.76 = 117.54/x
  3. Step 3: Cross multiply
    194.42x = 291.76 × 117.54
  4. Step 4: Simplify right side
    194.42x = 34,293.47
  5. Step 5: Solve for x
    x = 34,293.47/194.42
  6. Step 6: Final answer
    x = 176.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.