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Finding the Fourth Proportional to 305.47, 457.75 and 197.03

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Solution

The fourth proportional to 305.47, 457.75 and 197.03 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.47 : 457.75 = 197.03 : x
  2. Step 2: Convert to fraction form
    305.47/457.75 = 197.03/x
  3. Step 3: Cross multiply
    305.47x = 457.75 × 197.03
  4. Step 4: Simplify right side
    305.47x = 90,191.87
  5. Step 5: Solve for x
    x = 90,191.87/305.47
  6. Step 6: Final answer
    x = 295.25

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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.