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Finding the Fourth Proportional to 240.53, 331.95 and 152.03

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Solution

The fourth proportional to 240.53, 331.95 and 152.03 is: 209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.53 : 331.95 = 152.03 : x
  2. Step 2: Convert to fraction form
    240.53/331.95 = 152.03/x
  3. Step 3: Cross multiply
    240.53x = 331.95 × 152.03
  4. Step 4: Simplify right side
    240.53x = 50,464.70
  5. Step 5: Solve for x
    x = 50,464.70/240.53
  6. Step 6: Final answer
    x = 209.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.