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Finding the Fourth Proportional to 342.50, 472.59 and 193.12

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Solution

The fourth proportional to 342.50, 472.59 and 193.12 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.50 : 472.59 = 193.12 : x
  2. Step 2: Convert to fraction form
    342.50/472.59 = 193.12/x
  3. Step 3: Cross multiply
    342.50x = 472.59 × 193.12
  4. Step 4: Simplify right side
    342.50x = 91,265.40
  5. Step 5: Solve for x
    x = 91,265.40/342.50
  6. Step 6: Final answer
    x = 266.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.