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Finding the Fourth Proportional to 297.58, 445.80 and 153.40

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Solution

The fourth proportional to 297.58, 445.80 and 153.40 is: 229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.58 : 445.80 = 153.40 : x
  2. Step 2: Convert to fraction form
    297.58/445.80 = 153.40/x
  3. Step 3: Cross multiply
    297.58x = 445.80 × 153.40
  4. Step 4: Simplify right side
    297.58x = 68,385.72
  5. Step 5: Solve for x
    x = 68,385.72/297.58
  6. Step 6: Final answer
    x = 229.81

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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.