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Finding the Fourth Proportional to 193.52, 290.23 and 56.57

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Solution

The fourth proportional to 193.52, 290.23 and 56.57 is: 84.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.52 : 290.23 = 56.57 : x
  2. Step 2: Convert to fraction form
    193.52/290.23 = 56.57/x
  3. Step 3: Cross multiply
    193.52x = 290.23 × 56.57
  4. Step 4: Simplify right side
    193.52x = 16,417.59
  5. Step 5: Solve for x
    x = 16,417.59/193.52
  6. Step 6: Final answer
    x = 84.84

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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.