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Finding the Fourth Proportional to 315.42, 472.91 and 193.77

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Solution

The fourth proportional to 315.42, 472.91 and 193.77 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 472.91 = 193.77 : x
  2. Step 2: Convert to fraction form
    315.42/472.91 = 193.77/x
  3. Step 3: Cross multiply
    315.42x = 472.91 × 193.77
  4. Step 4: Simplify right side
    315.42x = 91,634.80
  5. Step 5: Solve for x
    x = 91,634.80/315.42
  6. Step 6: Final answer
    x = 290.52

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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.