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Finding the Fourth Proportional to 193.69, 290.59 and 117.15

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Solution

The fourth proportional to 193.69, 290.59 and 117.15 is: 175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.69 : 290.59 = 117.15 : x
  2. Step 2: Convert to fraction form
    193.69/290.59 = 117.15/x
  3. Step 3: Cross multiply
    193.69x = 290.59 × 117.15
  4. Step 4: Simplify right side
    193.69x = 34,041.24
  5. Step 5: Solve for x
    x = 34,041.24/193.69
  6. Step 6: Final answer
    x = 175.75

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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.