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Finding the Fourth Proportional to 297.59, 446.07 and 153.01

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Solution

The fourth proportional to 297.59, 446.07 and 153.01 is: 229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.59 : 446.07 = 153.01 : x
  2. Step 2: Convert to fraction form
    297.59/446.07 = 153.01/x
  3. Step 3: Cross multiply
    297.59x = 446.07 × 153.01
  4. Step 4: Simplify right side
    297.59x = 68,250.94
  5. Step 5: Solve for x
    x = 68,250.94/297.59
  6. Step 6: Final answer
    x = 229.35

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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.