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Finding the Fourth Proportional to 297.45, 446.07 and 102.42

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Solution

The fourth proportional to 297.45, 446.07 and 102.42 is: 153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.45 : 446.07 = 102.42 : x
  2. Step 2: Convert to fraction form
    297.45/446.07 = 102.42/x
  3. Step 3: Cross multiply
    297.45x = 446.07 × 102.42
  4. Step 4: Simplify right side
    297.45x = 45,686.49
  5. Step 5: Solve for x
    x = 45,686.49/297.45
  6. Step 6: Final answer
    x = 153.59

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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.