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Finding the Fourth Proportional to 240.78, 360.92 and 183.06

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Solution

The fourth proportional to 240.78, 360.92 and 183.06 is: 274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.78 : 360.92 = 183.06 : x
  2. Step 2: Convert to fraction form
    240.78/360.92 = 183.06/x
  3. Step 3: Cross multiply
    240.78x = 360.92 × 183.06
  4. Step 4: Simplify right side
    240.78x = 66,070.02
  5. Step 5: Solve for x
    x = 66,070.02/240.78
  6. Step 6: Final answer
    x = 274.40

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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.