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Finding the Fourth Proportional to 297.64, 446.46 and 153.16

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Solution

The fourth proportional to 297.64, 446.46 and 153.16 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 446.46 = 153.16 : x
  2. Step 2: Convert to fraction form
    297.64/446.46 = 153.16/x
  3. Step 3: Cross multiply
    297.64x = 446.46 × 153.16
  4. Step 4: Simplify right side
    297.64x = 68,379.81
  5. Step 5: Solve for x
    x = 68,379.81/297.64
  6. Step 6: Final answer
    x = 229.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.