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Finding the Fourth Proportional to 195.61, 293.52 and 117.58

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Solution

The fourth proportional to 195.61, 293.52 and 117.58 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.61 : 293.52 = 117.58 : x
  2. Step 2: Convert to fraction form
    195.61/293.52 = 117.58/x
  3. Step 3: Cross multiply
    195.61x = 293.52 × 117.58
  4. Step 4: Simplify right side
    195.61x = 34,512.08
  5. Step 5: Solve for x
    x = 34,512.08/195.61
  6. Step 6: Final answer
    x = 176.43

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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.