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Finding the Fourth Proportional to 193.58, 290.36 and 124.93

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Solution

The fourth proportional to 193.58, 290.36 and 124.93 is: 187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.58 : 290.36 = 124.93 : x
  2. Step 2: Convert to fraction form
    193.58/290.36 = 124.93/x
  3. Step 3: Cross multiply
    193.58x = 290.36 × 124.93
  4. Step 4: Simplify right side
    193.58x = 36,274.26
  5. Step 5: Solve for x
    x = 36,274.26/193.58
  6. Step 6: Final answer
    x = 187.39

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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.