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Finding the Fourth Proportional to 240.02, 360.13 and 206.30

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Solution

The fourth proportional to 240.02, 360.13 and 206.30 is: 309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.02 : 360.13 = 206.30 : x
  2. Step 2: Convert to fraction form
    240.02/360.13 = 206.30/x
  3. Step 3: Cross multiply
    240.02x = 360.13 × 206.30
  4. Step 4: Simplify right side
    240.02x = 74,294.82
  5. Step 5: Solve for x
    x = 74,294.82/240.02
  6. Step 6: Final answer
    x = 309.54

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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.