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Finding the Fourth Proportional to 195.76, 292.92 and 152.56

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Solution

The fourth proportional to 195.76, 292.92 and 152.56 is: 228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.76 : 292.92 = 152.56 : x
  2. Step 2: Convert to fraction form
    195.76/292.92 = 152.56/x
  3. Step 3: Cross multiply
    195.76x = 292.92 × 152.56
  4. Step 4: Simplify right side
    195.76x = 44,687.88
  5. Step 5: Solve for x
    x = 44,687.88/195.76
  6. Step 6: Final answer
    x = 228.28

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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.