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Finding the Fourth Proportional to 240.50, 360.68 and 202.00

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Solution

The fourth proportional to 240.50, 360.68 and 202.00 is: 302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.50 : 360.68 = 202.00 : x
  2. Step 2: Convert to fraction form
    240.50/360.68 = 202.00/x
  3. Step 3: Cross multiply
    240.50x = 360.68 × 202.00
  4. Step 4: Simplify right side
    240.50x = 72,855.45
  5. Step 5: Solve for x
    x = 72,855.45/240.50
  6. Step 6: Final answer
    x = 302.94

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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.